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Finding the Third Proportional to 61,571 and 134,711

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Solution

The third proportional to 61,571 and 134,711 is: 294,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,571 : 134,711 = 134,711 : x
  2. Step 2: Convert to fraction form
    61,571/134,711 = 134,711/x
  3. Step 3: Cross multiply
    61,571x = 134,711 × 134,711
  4. Step 4: Simplify right side
    61,571x = 18,147,053,521
  5. Step 5: Solve for x
    x = 18,147,053,521/61,571
  6. Step 6: Final answer
    x = 294,733.78

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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.