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Finding the Third Proportional to 101,234 and 140,373

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Solution

The third proportional to 101,234 and 140,373 is: 194,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,234 : 140,373 = 140,373 : x
  2. Step 2: Convert to fraction form
    101,234/140,373 = 140,373/x
  3. Step 3: Cross multiply
    101,234x = 140,373 × 140,373
  4. Step 4: Simplify right side
    101,234x = 19,704,579,129
  5. Step 5: Solve for x
    x = 19,704,579,129/101,234
  6. Step 6: Final answer
    x = 194,643.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.