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Finding the Third Proportional to 61,694 and 133,959

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Solution

The third proportional to 61,694 and 133,959 is: 290,871.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,694 : 133,959 = 133,959 : x
  2. Step 2: Convert to fraction form
    61,694/133,959 = 133,959/x
  3. Step 3: Cross multiply
    61,694x = 133,959 × 133,959
  4. Step 4: Simplify right side
    61,694x = 17,945,013,681
  5. Step 5: Solve for x
    x = 17,945,013,681/61,694
  6. Step 6: Final answer
    x = 290,871.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.