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Finding the Third Proportional to 146,938 and 176,098

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Solution

The third proportional to 146,938 and 176,098 is: 211,044.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,938 : 176,098 = 176,098 : x
  2. Step 2: Convert to fraction form
    146,938/176,098 = 176,098/x
  3. Step 3: Cross multiply
    146,938x = 176,098 × 176,098
  4. Step 4: Simplify right side
    146,938x = 31,010,505,604
  5. Step 5: Solve for x
    x = 31,010,505,604/146,938
  6. Step 6: Final answer
    x = 211,044.83

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.