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Finding the Third Proportional to 71,244.56 and 112,811.06

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Solution

The third proportional to 71,244.56 and 112,811.06 is: 178,628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,244.56 : 112,811.06 = 112,811.06 : x
  2. Step 2: Convert to fraction form
    71,244.56/112,811.06 = 112,811.06/x
  3. Step 3: Cross multiply
    71,244.56x = 112,811.06 × 112,811.06
  4. Step 4: Simplify right side
    71,244.56x = 12,726,335,822.38
  5. Step 5: Solve for x
    x = 12,726,335,822.38/71,244.56
  6. Step 6: Final answer
    x = 178,628.87

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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.