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Finding the Third Proportional to 77,232.71 and 159,424.61

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Solution

The third proportional to 77,232.71 and 159,424.61 is: 329,086.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,232.71 : 159,424.61 = 159,424.61 : x
  2. Step 2: Convert to fraction form
    77,232.71/159,424.61 = 159,424.61/x
  3. Step 3: Cross multiply
    77,232.71x = 159,424.61 × 159,424.61
  4. Step 4: Simplify right side
    77,232.71x = 25,416,206,697.12
  5. Step 5: Solve for x
    x = 25,416,206,697.12/77,232.71
  6. Step 6: Final answer
    x = 329,086.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.