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Finding the Third Proportional to 109,059.75 and 159,994.13

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Solution

The third proportional to 109,059.75 and 159,994.13 is: 234,716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,059.75 : 159,994.13 = 159,994.13 : x
  2. Step 2: Convert to fraction form
    109,059.75/159,994.13 = 159,994.13/x
  3. Step 3: Cross multiply
    109,059.75x = 159,994.13 × 159,994.13
  4. Step 4: Simplify right side
    109,059.75x = 25,598,120,034.52
  5. Step 5: Solve for x
    x = 25,598,120,034.52/109,059.75
  6. Step 6: Final answer
    x = 234,716.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.