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Finding the Third Proportional to 61,136 and 133,792

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Solution

The third proportional to 61,136 and 133,792 is: 292,794.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,136 : 133,792 = 133,792 : x
  2. Step 2: Convert to fraction form
    61,136/133,792 = 133,792/x
  3. Step 3: Cross multiply
    61,136x = 133,792 × 133,792
  4. Step 4: Simplify right side
    61,136x = 17,900,299,264
  5. Step 5: Solve for x
    x = 17,900,299,264/61,136
  6. Step 6: Final answer
    x = 292,794.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.