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Finding the Third Proportional to 87,521.77 and 178,253.79

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Solution

The third proportional to 87,521.77 and 178,253.79 is: 363,045.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,521.77 : 178,253.79 = 178,253.79 : x
  2. Step 2: Convert to fraction form
    87,521.77/178,253.79 = 178,253.79/x
  3. Step 3: Cross multiply
    87,521.77x = 178,253.79 × 178,253.79
  4. Step 4: Simplify right side
    87,521.77x = 31,774,413,315.14
  5. Step 5: Solve for x
    x = 31,774,413,315.14/87,521.77
  6. Step 6: Final answer
    x = 363,045.84

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.