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Finding the Third Proportional to 61,539 and 133,878

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Solution

The third proportional to 61,539 and 133,878 is: 291,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,539 : 133,878 = 133,878 : x
  2. Step 2: Convert to fraction form
    61,539/133,878 = 133,878/x
  3. Step 3: Cross multiply
    61,539x = 133,878 × 133,878
  4. Step 4: Simplify right side
    61,539x = 17,923,318,884
  5. Step 5: Solve for x
    x = 17,923,318,884/61,539
  6. Step 6: Final answer
    x = 291,251.38

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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.