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Finding the Third Proportional to 75,186 and 101,259

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Solution

The third proportional to 75,186 and 101,259 is: 136,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,186 : 101,259 = 101,259 : x
  2. Step 2: Convert to fraction form
    75,186/101,259 = 101,259/x
  3. Step 3: Cross multiply
    75,186x = 101,259 × 101,259
  4. Step 4: Simplify right side
    75,186x = 10,253,385,081
  5. Step 5: Solve for x
    x = 10,253,385,081/75,186
  6. Step 6: Final answer
    x = 136,373.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.