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Finding the Third Proportional to 57,724 and 86,354

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Solution

The third proportional to 57,724 and 86,354 is: 129,183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,724 : 86,354 = 86,354 : x
  2. Step 2: Convert to fraction form
    57,724/86,354 = 86,354/x
  3. Step 3: Cross multiply
    57,724x = 86,354 × 86,354
  4. Step 4: Simplify right side
    57,724x = 7,457,013,316
  5. Step 5: Solve for x
    x = 7,457,013,316/57,724
  6. Step 6: Final answer
    x = 129,183.93

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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.