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Finding the Third Proportional to 70,537 and 95,690

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Solution

The third proportional to 70,537 and 95,690 is: 129,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,537 : 95,690 = 95,690 : x
  2. Step 2: Convert to fraction form
    70,537/95,690 = 95,690/x
  3. Step 3: Cross multiply
    70,537x = 95,690 × 95,690
  4. Step 4: Simplify right side
    70,537x = 9,156,576,100
  5. Step 5: Solve for x
    x = 9,156,576,100/70,537
  6. Step 6: Final answer
    x = 129,812.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.