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Finding the Third Proportional to 101,062 and 140,156

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Solution

The third proportional to 101,062 and 140,156 is: 194,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,062 : 140,156 = 140,156 : x
  2. Step 2: Convert to fraction form
    101,062/140,156 = 140,156/x
  3. Step 3: Cross multiply
    101,062x = 140,156 × 140,156
  4. Step 4: Simplify right side
    101,062x = 19,643,704,336
  5. Step 5: Solve for x
    x = 19,643,704,336/101,062
  6. Step 6: Final answer
    x = 194,372.80

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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.