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Finding the Third Proportional to 87,465.38 and 181,154.25

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Solution

The third proportional to 87,465.38 and 181,154.25 is: 375,198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,465.38 : 181,154.25 = 181,154.25 : x
  2. Step 2: Convert to fraction form
    87,465.38/181,154.25 = 181,154.25/x
  3. Step 3: Cross multiply
    87,465.38x = 181,154.25 × 181,154.25
  4. Step 4: Simplify right side
    87,465.38x = 32,816,862,293.06
  5. Step 5: Solve for x
    x = 32,816,862,293.06/87,465.38
  6. Step 6: Final answer
    x = 375,198.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.