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Finding the Third Proportional to 61,606 and 131,959

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Solution

The third proportional to 61,606 and 131,959 is: 282,653.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,606 : 131,959 = 131,959 : x
  2. Step 2: Convert to fraction form
    61,606/131,959 = 131,959/x
  3. Step 3: Cross multiply
    61,606x = 131,959 × 131,959
  4. Step 4: Simplify right side
    61,606x = 17,413,177,681
  5. Step 5: Solve for x
    x = 17,413,177,681/61,606
  6. Step 6: Final answer
    x = 282,653.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.