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Finding the Third Proportional to 59,382 and 87,129

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Solution

The third proportional to 59,382 and 87,129 is: 127,841.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,382 : 87,129 = 87,129 : x
  2. Step 2: Convert to fraction form
    59,382/87,129 = 87,129/x
  3. Step 3: Cross multiply
    59,382x = 87,129 × 87,129
  4. Step 4: Simplify right side
    59,382x = 7,591,462,641
  5. Step 5: Solve for x
    x = 7,591,462,641/59,382
  6. Step 6: Final answer
    x = 127,841.14

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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.