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Finding the Third Proportional to 65,694 and 144,104.75

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Solution

The third proportional to 65,694 and 144,104.75 is: 316,104.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,694 : 144,104.75 = 144,104.75 : x
  2. Step 2: Convert to fraction form
    65,694/144,104.75 = 144,104.75/x
  3. Step 3: Cross multiply
    65,694x = 144,104.75 × 144,104.75
  4. Step 4: Simplify right side
    65,694x = 20,766,178,972.56
  5. Step 5: Solve for x
    x = 20,766,178,972.56/65,694
  6. Step 6: Final answer
    x = 316,104.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.