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Finding the Third Proportional to 63,757.50 and 138,693

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Solution

The third proportional to 63,757.50 and 138,693 is: 301,701.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,757.50 : 138,693 = 138,693 : x
  2. Step 2: Convert to fraction form
    63,757.50/138,693 = 138,693/x
  3. Step 3: Cross multiply
    63,757.50x = 138,693 × 138,693
  4. Step 4: Simplify right side
    63,757.50x = 19,235,748,249
  5. Step 5: Solve for x
    x = 19,235,748,249/63,757.50
  6. Step 6: Final answer
    x = 301,701.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.