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Finding the Third Proportional to 101,434 and 149,279

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Solution

The third proportional to 101,434 and 149,279 is: 219,691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,434 : 149,279 = 149,279 : x
  2. Step 2: Convert to fraction form
    101,434/149,279 = 149,279/x
  3. Step 3: Cross multiply
    101,434x = 149,279 × 149,279
  4. Step 4: Simplify right side
    101,434x = 22,284,219,841
  5. Step 5: Solve for x
    x = 22,284,219,841/101,434
  6. Step 6: Final answer
    x = 219,691.82

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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.