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Finding the Third Proportional to 137,788.13 and 195,024.75

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Solution

The third proportional to 137,788.13 and 195,024.75 is: 276,037.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,788.13 : 195,024.75 = 195,024.75 : x
  2. Step 2: Convert to fraction form
    137,788.13/195,024.75 = 195,024.75/x
  3. Step 3: Cross multiply
    137,788.13x = 195,024.75 × 195,024.75
  4. Step 4: Simplify right side
    137,788.13x = 38,034,653,112.56
  5. Step 5: Solve for x
    x = 38,034,653,112.56/137,788.13
  6. Step 6: Final answer
    x = 276,037.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.