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Finding the Third Proportional to 60,919 and 95,586

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Solution

The third proportional to 60,919 and 95,586 is: 149,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,919 : 95,586 = 95,586 : x
  2. Step 2: Convert to fraction form
    60,919/95,586 = 95,586/x
  3. Step 3: Cross multiply
    60,919x = 95,586 × 95,586
  4. Step 4: Simplify right side
    60,919x = 9,136,683,396
  5. Step 5: Solve for x
    x = 9,136,683,396/60,919
  6. Step 6: Final answer
    x = 149,980.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.