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Finding the Third Proportional to 63,913.50 and 138,404.25

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Solution

The third proportional to 63,913.50 and 138,404.25 is: 299,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,913.50 : 138,404.25 = 138,404.25 : x
  2. Step 2: Convert to fraction form
    63,913.50/138,404.25 = 138,404.25/x
  3. Step 3: Cross multiply
    63,913.50x = 138,404.25 × 138,404.25
  4. Step 4: Simplify right side
    63,913.50x = 19,155,736,418.06
  5. Step 5: Solve for x
    x = 19,155,736,418.06/63,913.50
  6. Step 6: Final answer
    x = 299,713.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.