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Finding the Third Proportional to 101,779 and 153,782

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Solution

The third proportional to 101,779 and 153,782 is: 232,355.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,779 : 153,782 = 153,782 : x
  2. Step 2: Convert to fraction form
    101,779/153,782 = 153,782/x
  3. Step 3: Cross multiply
    101,779x = 153,782 × 153,782
  4. Step 4: Simplify right side
    101,779x = 23,648,903,524
  5. Step 5: Solve for x
    x = 23,648,903,524/101,779
  6. Step 6: Final answer
    x = 232,355.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.