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Finding the Third Proportional to 91,746.25 and 129,195.38

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Solution

The third proportional to 91,746.25 and 129,195.38 is: 181,930.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,746.25 : 129,195.38 = 129,195.38 : x
  2. Step 2: Convert to fraction form
    91,746.25/129,195.38 = 129,195.38/x
  3. Step 3: Cross multiply
    91,746.25x = 129,195.38 × 129,195.38
  4. Step 4: Simplify right side
    91,746.25x = 16,691,444,921.39
  5. Step 5: Solve for x
    x = 16,691,444,921.39/91,746.25
  6. Step 6: Final answer
    x = 181,930.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.