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Finding the Third Proportional to 87,517.02 and 178,244.30

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Solution

The third proportional to 87,517.02 and 178,244.30 is: 363,026.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,517.02 : 178,244.30 = 178,244.30 : x
  2. Step 2: Convert to fraction form
    87,517.02/178,244.30 = 178,244.30/x
  3. Step 3: Cross multiply
    87,517.02x = 178,244.30 × 178,244.30
  4. Step 4: Simplify right side
    87,517.02x = 31,771,029,368.46
  5. Step 5: Solve for x
    x = 31,771,029,368.46/87,517.02
  6. Step 6: Final answer
    x = 363,026.87

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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.