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Finding the Third Proportional to 87,527 and 178,265.75

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Solution

The third proportional to 87,527 and 178,265.75 is: 363,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,527 : 178,265.75 = 178,265.75 : x
  2. Step 2: Convert to fraction form
    87,527/178,265.75 = 178,265.75/x
  3. Step 3: Cross multiply
    87,527x = 178,265.75 × 178,265.75
  4. Step 4: Simplify right side
    87,527x = 31,778,677,623.06
  5. Step 5: Solve for x
    x = 31,778,677,623.06/87,527
  6. Step 6: Final answer
    x = 363,072.85

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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.