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Finding the Third Proportional to 63,675 and 138,407.25

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Solution

The third proportional to 63,675 and 138,407.25 is: 300,849.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,675 : 138,407.25 = 138,407.25 : x
  2. Step 2: Convert to fraction form
    63,675/138,407.25 = 138,407.25/x
  3. Step 3: Cross multiply
    63,675x = 138,407.25 × 138,407.25
  4. Step 4: Simplify right side
    63,675x = 19,156,566,852.56
  5. Step 5: Solve for x
    x = 19,156,566,852.56/63,675
  6. Step 6: Final answer
    x = 300,849.11

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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.