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Finding the Third Proportional to 59,285.25 and 129,664.13

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Solution

The third proportional to 59,285.25 and 129,664.13 is: 283,591.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,285.25 : 129,664.13 = 129,664.13 : x
  2. Step 2: Convert to fraction form
    59,285.25/129,664.13 = 129,664.13/x
  3. Step 3: Cross multiply
    59,285.25x = 129,664.13 × 129,664.13
  4. Step 4: Simplify right side
    59,285.25x = 16,812,785,312.02
  5. Step 5: Solve for x
    x = 16,812,785,312.02/59,285.25
  6. Step 6: Final answer
    x = 283,591.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.