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Finding the Third Proportional to 75,560 and 111,036

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Solution

The third proportional to 75,560 and 111,036 is: 163,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,560 : 111,036 = 111,036 : x
  2. Step 2: Convert to fraction form
    75,560/111,036 = 111,036/x
  3. Step 3: Cross multiply
    75,560x = 111,036 × 111,036
  4. Step 4: Simplify right side
    75,560x = 12,328,993,296
  5. Step 5: Solve for x
    x = 12,328,993,296/75,560
  6. Step 6: Final answer
    x = 163,168.25

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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.