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Finding the Third Proportional to 96,048 and 140,959

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Solution

The third proportional to 96,048 and 140,959 is: 206,869.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,048 : 140,959 = 140,959 : x
  2. Step 2: Convert to fraction form
    96,048/140,959 = 140,959/x
  3. Step 3: Cross multiply
    96,048x = 140,959 × 140,959
  4. Step 4: Simplify right side
    96,048x = 19,869,439,681
  5. Step 5: Solve for x
    x = 19,869,439,681/96,048
  6. Step 6: Final answer
    x = 206,869.90

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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.