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Finding the Third Proportional to 81,532.13 and 175,117.13

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Solution

The third proportional to 81,532.13 and 175,117.13 is: 376,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,532.13 : 175,117.13 = 175,117.13 : x
  2. Step 2: Convert to fraction form
    81,532.13/175,117.13 = 175,117.13/x
  3. Step 3: Cross multiply
    81,532.13x = 175,117.13 × 175,117.13
  4. Step 4: Simplify right side
    81,532.13x = 30,666,007,468.27
  5. Step 5: Solve for x
    x = 30,666,007,468.27/81,532.13
  6. Step 6: Final answer
    x = 376,121.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.