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Finding the Third Proportional to 79,416 and 123,480

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Solution

The third proportional to 79,416 and 123,480 is: 191,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,416 : 123,480 = 123,480 : x
  2. Step 2: Convert to fraction form
    79,416/123,480 = 123,480/x
  3. Step 3: Cross multiply
    79,416x = 123,480 × 123,480
  4. Step 4: Simplify right side
    79,416x = 15,247,310,400
  5. Step 5: Solve for x
    x = 15,247,310,400/79,416
  6. Step 6: Final answer
    x = 191,992.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.