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Finding the Third Proportional to 59,086.13 and 89,332.31

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Solution

The third proportional to 59,086.13 and 89,332.31 is: 135,061.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,086.13 : 89,332.31 = 89,332.31 : x
  2. Step 2: Convert to fraction form
    59,086.13/89,332.31 = 89,332.31/x
  3. Step 3: Cross multiply
    59,086.13x = 89,332.31 × 89,332.31
  4. Step 4: Simplify right side
    59,086.13x = 7,980,262,056.60
  5. Step 5: Solve for x
    x = 7,980,262,056.60/59,086.13
  6. Step 6: Final answer
    x = 135,061.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.