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Finding the Third Proportional to 36,098 and 77,530

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Solution

The third proportional to 36,098 and 77,530 is: 166,516.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,098 : 77,530 = 77,530 : x
  2. Step 2: Convert to fraction form
    36,098/77,530 = 77,530/x
  3. Step 3: Cross multiply
    36,098x = 77,530 × 77,530
  4. Step 4: Simplify right side
    36,098x = 6,010,900,900
  5. Step 5: Solve for x
    x = 6,010,900,900/36,098
  6. Step 6: Final answer
    x = 166,516.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.