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Finding the Third Proportional to 100,356 and 136,686

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Solution

The third proportional to 100,356 and 136,686 is: 186,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,356 : 136,686 = 136,686 : x
  2. Step 2: Convert to fraction form
    100,356/136,686 = 136,686/x
  3. Step 3: Cross multiply
    100,356x = 136,686 × 136,686
  4. Step 4: Simplify right side
    100,356x = 18,683,062,596
  5. Step 5: Solve for x
    x = 18,683,062,596/100,356
  6. Step 6: Final answer
    x = 186,167.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.