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Finding the Third Proportional to 63,592 and 138,128

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Solution

The third proportional to 63,592 and 138,128 is: 300,027.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,592 : 138,128 = 138,128 : x
  2. Step 2: Convert to fraction form
    63,592/138,128 = 138,128/x
  3. Step 3: Cross multiply
    63,592x = 138,128 × 138,128
  4. Step 4: Simplify right side
    63,592x = 19,079,344,384
  5. Step 5: Solve for x
    x = 19,079,344,384/63,592
  6. Step 6: Final answer
    x = 300,027.43

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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.