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Finding the Third Proportional to 90,451.13 and 132,966.56

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Solution

The third proportional to 90,451.13 and 132,966.56 is: 195,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,451.13 : 132,966.56 = 132,966.56 : x
  2. Step 2: Convert to fraction form
    90,451.13/132,966.56 = 132,966.56/x
  3. Step 3: Cross multiply
    90,451.13x = 132,966.56 × 132,966.56
  4. Step 4: Simplify right side
    90,451.13x = 17,680,106,743.07
  5. Step 5: Solve for x
    x = 17,680,106,743.07/90,451.13
  6. Step 6: Final answer
    x = 195,465.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.