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Finding the Third Proportional to 71,265.38 and 112,839.75

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Solution

The third proportional to 71,265.38 and 112,839.75 is: 178,667.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,265.38 : 112,839.75 = 112,839.75 : x
  2. Step 2: Convert to fraction form
    71,265.38/112,839.75 = 112,839.75/x
  3. Step 3: Cross multiply
    71,265.38x = 112,839.75 × 112,839.75
  4. Step 4: Simplify right side
    71,265.38x = 12,732,809,180.06
  5. Step 5: Solve for x
    x = 12,732,809,180.06/71,265.38
  6. Step 6: Final answer
    x = 178,667.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.