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Finding the Third Proportional to 57,730 and 86,363

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Solution

The third proportional to 57,730 and 86,363 is: 129,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,730 : 86,363 = 86,363 : x
  2. Step 2: Convert to fraction form
    57,730/86,363 = 86,363/x
  3. Step 3: Cross multiply
    57,730x = 86,363 × 86,363
  4. Step 4: Simplify right side
    57,730x = 7,458,567,769
  5. Step 5: Solve for x
    x = 7,458,567,769/57,730
  6. Step 6: Final answer
    x = 129,197.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.