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Finding the Third Proportional to 75,604.25 and 111,216.25

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Solution

The third proportional to 75,604.25 and 111,216.25 is: 163,602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,604.25 : 111,216.25 = 111,216.25 : x
  2. Step 2: Convert to fraction form
    75,604.25/111,216.25 = 111,216.25/x
  3. Step 3: Cross multiply
    75,604.25x = 111,216.25 × 111,216.25
  4. Step 4: Simplify right side
    75,604.25x = 12,369,054,264.06
  5. Step 5: Solve for x
    x = 12,369,054,264.06/75,604.25
  6. Step 6: Final answer
    x = 163,602.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.