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Finding the Third Proportional to 63,911.81 and 137,634.56

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Solution

The third proportional to 63,911.81 and 137,634.56 is: 296,397.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,911.81 : 137,634.56 = 137,634.56 : x
  2. Step 2: Convert to fraction form
    63,911.81/137,634.56 = 137,634.56/x
  3. Step 3: Cross multiply
    63,911.81x = 137,634.56 × 137,634.56
  4. Step 4: Simplify right side
    63,911.81x = 18,943,272,794.57
  5. Step 5: Solve for x
    x = 18,943,272,794.57/63,911.81
  6. Step 6: Final answer
    x = 296,397.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.