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Finding the Third Proportional to 109,948.50 and 167,010.75

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Solution

The third proportional to 109,948.50 and 167,010.75 is: 253,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,948.50 : 167,010.75 = 167,010.75 : x
  2. Step 2: Convert to fraction form
    109,948.50/167,010.75 = 167,010.75/x
  3. Step 3: Cross multiply
    109,948.50x = 167,010.75 × 167,010.75
  4. Step 4: Simplify right side
    109,948.50x = 27,892,590,615.56
  5. Step 5: Solve for x
    x = 27,892,590,615.56/109,948.50
  6. Step 6: Final answer
    x = 253,687.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.