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Finding the Third Proportional to 63,834.75 and 135,740.25

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Solution

The third proportional to 63,834.75 and 135,740.25 is: 288,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,834.75 : 135,740.25 = 135,740.25 : x
  2. Step 2: Convert to fraction form
    63,834.75/135,740.25 = 135,740.25/x
  3. Step 3: Cross multiply
    63,834.75x = 135,740.25 × 135,740.25
  4. Step 4: Simplify right side
    63,834.75x = 18,425,415,470.06
  5. Step 5: Solve for x
    x = 18,425,415,470.06/63,834.75
  6. Step 6: Final answer
    x = 288,642.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.