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Finding the Third Proportional to 87,893.50 and 182,017.50

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Solution

The third proportional to 87,893.50 and 182,017.50 is: 376,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,893.50 : 182,017.50 = 182,017.50 : x
  2. Step 2: Convert to fraction form
    87,893.50/182,017.50 = 182,017.50/x
  3. Step 3: Cross multiply
    87,893.50x = 182,017.50 × 182,017.50
  4. Step 4: Simplify right side
    87,893.50x = 33,130,370,306.25
  5. Step 5: Solve for x
    x = 33,130,370,306.25/87,893.50
  6. Step 6: Final answer
    x = 376,937.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.