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Finding the Third Proportional to 63,913.50 and 137,640

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Solution

The third proportional to 63,913.50 and 137,640 is: 296,412.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,913.50 : 137,640 = 137,640 : x
  2. Step 2: Convert to fraction form
    63,913.50/137,640 = 137,640/x
  3. Step 3: Cross multiply
    63,913.50x = 137,640 × 137,640
  4. Step 4: Simplify right side
    63,913.50x = 18,944,769,600
  5. Step 5: Solve for x
    x = 18,944,769,600/63,913.50
  6. Step 6: Final answer
    x = 296,412.65

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