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Finding the Third Proportional to 132,094.13 and 176,951.25

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Solution

The third proportional to 132,094.13 and 176,951.25 is: 237,041.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,094.13 : 176,951.25 = 176,951.25 : x
  2. Step 2: Convert to fraction form
    132,094.13/176,951.25 = 176,951.25/x
  3. Step 3: Cross multiply
    132,094.13x = 176,951.25 × 176,951.25
  4. Step 4: Simplify right side
    132,094.13x = 31,311,744,876.56
  5. Step 5: Solve for x
    x = 31,311,744,876.56/132,094.13
  6. Step 6: Final answer
    x = 237,041.16

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.