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Finding the Third Proportional to 62,136 and 95,292

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Solution

The third proportional to 62,136 and 95,292 is: 146,140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,136 : 95,292 = 95,292 : x
  2. Step 2: Convert to fraction form
    62,136/95,292 = 95,292/x
  3. Step 3: Cross multiply
    62,136x = 95,292 × 95,292
  4. Step 4: Simplify right side
    62,136x = 9,080,565,264
  5. Step 5: Solve for x
    x = 9,080,565,264/62,136
  6. Step 6: Final answer
    x = 146,140.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.