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Finding the Third Proportional to 61,537 and 133,874

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Solution

The third proportional to 61,537 and 133,874 is: 291,243.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,537 : 133,874 = 133,874 : x
  2. Step 2: Convert to fraction form
    61,537/133,874 = 133,874/x
  3. Step 3: Cross multiply
    61,537x = 133,874 × 133,874
  4. Step 4: Simplify right side
    61,537x = 17,922,247,876
  5. Step 5: Solve for x
    x = 17,922,247,876/61,537
  6. Step 6: Final answer
    x = 291,243.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.