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Finding the Third Proportional to 75,737 and 117,601

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Solution

The third proportional to 75,737 and 117,601 is: 182,605.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,737 : 117,601 = 117,601 : x
  2. Step 2: Convert to fraction form
    75,737/117,601 = 117,601/x
  3. Step 3: Cross multiply
    75,737x = 117,601 × 117,601
  4. Step 4: Simplify right side
    75,737x = 13,829,995,201
  5. Step 5: Solve for x
    x = 13,829,995,201/75,737
  6. Step 6: Final answer
    x = 182,605.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.