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Finding the Third Proportional to 63,776 and 140,127

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Solution

The third proportional to 63,776 and 140,127 is: 307,883.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,776 : 140,127 = 140,127 : x
  2. Step 2: Convert to fraction form
    63,776/140,127 = 140,127/x
  3. Step 3: Cross multiply
    63,776x = 140,127 × 140,127
  4. Step 4: Simplify right side
    63,776x = 19,635,576,129
  5. Step 5: Solve for x
    x = 19,635,576,129/63,776
  6. Step 6: Final answer
    x = 307,883.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.