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Finding the Third Proportional to 57,696 and 86,545

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Solution

The third proportional to 57,696 and 86,545 is: 129,819.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,696 : 86,545 = 86,545 : x
  2. Step 2: Convert to fraction form
    57,696/86,545 = 86,545/x
  3. Step 3: Cross multiply
    57,696x = 86,545 × 86,545
  4. Step 4: Simplify right side
    57,696x = 7,490,037,025
  5. Step 5: Solve for x
    x = 7,490,037,025/57,696
  6. Step 6: Final answer
    x = 129,819.00

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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.