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Finding the Third Proportional to 60,644 and 131,889

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Solution

The third proportional to 60,644 and 131,889 is: 286,833.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,644 : 131,889 = 131,889 : x
  2. Step 2: Convert to fraction form
    60,644/131,889 = 131,889/x
  3. Step 3: Cross multiply
    60,644x = 131,889 × 131,889
  4. Step 4: Simplify right side
    60,644x = 17,394,708,321
  5. Step 5: Solve for x
    x = 17,394,708,321/60,644
  6. Step 6: Final answer
    x = 286,833.13

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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.