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Finding the Third Proportional to 44,549 and 96,061

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Solution

The third proportional to 44,549 and 96,061 is: 207,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,549 : 96,061 = 96,061 : x
  2. Step 2: Convert to fraction form
    44,549/96,061 = 96,061/x
  3. Step 3: Cross multiply
    44,549x = 96,061 × 96,061
  4. Step 4: Simplify right side
    44,549x = 9,227,715,721
  5. Step 5: Solve for x
    x = 9,227,715,721/44,549
  6. Step 6: Final answer
    x = 207,136.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.