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Finding the Third Proportional to 75,260.25 and 116,596.13

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Solution

The third proportional to 75,260.25 and 116,596.13 is: 180,635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,260.25 : 116,596.13 = 116,596.13 : x
  2. Step 2: Convert to fraction form
    75,260.25/116,596.13 = 116,596.13/x
  3. Step 3: Cross multiply
    75,260.25x = 116,596.13 × 116,596.13
  4. Step 4: Simplify right side
    75,260.25x = 13,594,656,365.02
  5. Step 5: Solve for x
    x = 13,594,656,365.02/75,260.25
  6. Step 6: Final answer
    x = 180,635.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.