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Finding the Third Proportional to 137,787 and 195,022.13

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Solution

The third proportional to 137,787 and 195,022.13 is: 276,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,787 : 195,022.13 = 195,022.13 : x
  2. Step 2: Convert to fraction form
    137,787/195,022.13 = 195,022.13/x
  3. Step 3: Cross multiply
    137,787x = 195,022.13 × 195,022.13
  4. Step 4: Simplify right side
    137,787x = 38,033,629,239.52
  5. Step 5: Solve for x
    x = 38,033,629,239.52/137,787
  6. Step 6: Final answer
    x = 276,032.06

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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.