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Finding the Third Proportional to 109,842.75 and 164,764.13

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Solution

The third proportional to 109,842.75 and 164,764.13 is: 247,146.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,842.75 : 164,764.13 = 164,764.13 : x
  2. Step 2: Convert to fraction form
    109,842.75/164,764.13 = 164,764.13/x
  3. Step 3: Cross multiply
    109,842.75x = 164,764.13 × 164,764.13
  4. Step 4: Simplify right side
    109,842.75x = 27,147,216,887.02
  5. Step 5: Solve for x
    x = 27,147,216,887.02/109,842.75
  6. Step 6: Final answer
    x = 247,146.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.