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Finding the Third Proportional to 101,959 and 149,938

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Solution

The third proportional to 101,959 and 149,938 is: 220,494.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,959 : 149,938 = 149,938 : x
  2. Step 2: Convert to fraction form
    101,959/149,938 = 149,938/x
  3. Step 3: Cross multiply
    101,959x = 149,938 × 149,938
  4. Step 4: Simplify right side
    101,959x = 22,481,403,844
  5. Step 5: Solve for x
    x = 22,481,403,844/101,959
  6. Step 6: Final answer
    x = 220,494.55

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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.