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Finding the Third Proportional to 91,874 and 129,369

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Solution

The third proportional to 91,874 and 129,369 is: 182,166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,874 : 129,369 = 129,369 : x
  2. Step 2: Convert to fraction form
    91,874/129,369 = 129,369/x
  3. Step 3: Cross multiply
    91,874x = 129,369 × 129,369
  4. Step 4: Simplify right side
    91,874x = 16,736,338,161
  5. Step 5: Solve for x
    x = 16,736,338,161/91,874
  6. Step 6: Final answer
    x = 182,166.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.