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Finding the Third Proportional to 79,396 and 112,855

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Solution

The third proportional to 79,396 and 112,855 is: 160,414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,396 : 112,855 = 112,855 : x
  2. Step 2: Convert to fraction form
    79,396/112,855 = 112,855/x
  3. Step 3: Cross multiply
    79,396x = 112,855 × 112,855
  4. Step 4: Simplify right side
    79,396x = 12,736,251,025
  5. Step 5: Solve for x
    x = 12,736,251,025/79,396
  6. Step 6: Final answer
    x = 160,414.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.