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Finding the Third Proportional to 63,525.38 and 138,121.88

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Solution

The third proportional to 63,525.38 and 138,121.88 is: 300,315.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,525.38 : 138,121.88 = 138,121.88 : x
  2. Step 2: Convert to fraction form
    63,525.38/138,121.88 = 138,121.88/x
  3. Step 3: Cross multiply
    63,525.38x = 138,121.88 × 138,121.88
  4. Step 4: Simplify right side
    63,525.38x = 19,077,652,353.52
  5. Step 5: Solve for x
    x = 19,077,652,353.52/63,525.38
  6. Step 6: Final answer
    x = 300,315.46

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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.