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Finding the Third Proportional to 43,402.50 and 88,013.25

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Solution

The third proportional to 43,402.50 and 88,013.25 is: 178,476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,402.50 : 88,013.25 = 88,013.25 : x
  2. Step 2: Convert to fraction form
    43,402.50/88,013.25 = 88,013.25/x
  3. Step 3: Cross multiply
    43,402.50x = 88,013.25 × 88,013.25
  4. Step 4: Simplify right side
    43,402.50x = 7,746,332,175.56
  5. Step 5: Solve for x
    x = 7,746,332,175.56/43,402.50
  6. Step 6: Final answer
    x = 178,476.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.