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Finding the Third Proportional to 57,658 and 86,487

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Solution

The third proportional to 57,658 and 86,487 is: 129,730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,658 : 86,487 = 86,487 : x
  2. Step 2: Convert to fraction form
    57,658/86,487 = 86,487/x
  3. Step 3: Cross multiply
    57,658x = 86,487 × 86,487
  4. Step 4: Simplify right side
    57,658x = 7,480,001,169
  5. Step 5: Solve for x
    x = 7,480,001,169/57,658
  6. Step 6: Final answer
    x = 129,730.50

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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.