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Finding the Third Proportional to 71,232.38 and 112,794.75

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Solution

The third proportional to 71,232.38 and 112,794.75 is: 178,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,232.38 : 112,794.75 = 112,794.75 : x
  2. Step 2: Convert to fraction form
    71,232.38/112,794.75 = 112,794.75/x
  3. Step 3: Cross multiply
    71,232.38x = 112,794.75 × 112,794.75
  4. Step 4: Simplify right side
    71,232.38x = 12,722,655,627.56
  5. Step 5: Solve for x
    x = 12,722,655,627.56/71,232.38
  6. Step 6: Final answer
    x = 178,607.77

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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.