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Finding the Third Proportional to 137,841.75 and 187,072.88

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Solution

The third proportional to 137,841.75 and 187,072.88 is: 253,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,841.75 : 187,072.88 = 187,072.88 : x
  2. Step 2: Convert to fraction form
    137,841.75/187,072.88 = 187,072.88/x
  3. Step 3: Cross multiply
    137,841.75x = 187,072.88 × 187,072.88
  4. Step 4: Simplify right side
    137,841.75x = 34,996,260,560.77
  5. Step 5: Solve for x
    x = 34,996,260,560.77/137,841.75
  6. Step 6: Final answer
    x = 253,887.23

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.