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Finding the Third Proportional to 129,053.25 and 195,523.88

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Solution

The third proportional to 129,053.25 and 195,523.88 is: 296,231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,053.25 : 195,523.88 = 195,523.88 : x
  2. Step 2: Convert to fraction form
    129,053.25/195,523.88 = 195,523.88/x
  3. Step 3: Cross multiply
    129,053.25x = 195,523.88 × 195,523.88
  4. Step 4: Simplify right side
    129,053.25x = 38,229,585,695.02
  5. Step 5: Solve for x
    x = 38,229,585,695.02/129,053.25
  6. Step 6: Final answer
    x = 296,231.10

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