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Finding the Third Proportional to 63,856.13 and 138,764.25

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Solution

The third proportional to 63,856.13 and 138,764.25 is: 301,545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,856.13 : 138,764.25 = 138,764.25 : x
  2. Step 2: Convert to fraction form
    63,856.13/138,764.25 = 138,764.25/x
  3. Step 3: Cross multiply
    63,856.13x = 138,764.25 × 138,764.25
  4. Step 4: Simplify right side
    63,856.13x = 19,255,517,078.06
  5. Step 5: Solve for x
    x = 19,255,517,078.06/63,856.13
  6. Step 6: Final answer
    x = 301,545.34

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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.