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Finding the Third Proportional to 101,919 and 149,883

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Solution

The third proportional to 101,919 and 149,883 is: 220,419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,919 : 149,883 = 149,883 : x
  2. Step 2: Convert to fraction form
    101,919/149,883 = 149,883/x
  3. Step 3: Cross multiply
    101,919x = 149,883 × 149,883
  4. Step 4: Simplify right side
    101,919x = 22,464,913,689
  5. Step 5: Solve for x
    x = 22,464,913,689/101,919
  6. Step 6: Final answer
    x = 220,419.29

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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.