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Finding the Third Proportional to 101,068 and 140,165

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Solution

The third proportional to 101,068 and 140,165 is: 194,386.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,068 : 140,165 = 140,165 : x
  2. Step 2: Convert to fraction form
    101,068/140,165 = 140,165/x
  3. Step 3: Cross multiply
    101,068x = 140,165 × 140,165
  4. Step 4: Simplify right side
    101,068x = 19,646,227,225
  5. Step 5: Solve for x
    x = 19,646,227,225/101,068
  6. Step 6: Final answer
    x = 194,386.23

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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.