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Finding the Third Proportional to 71,286 and 112,126

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Solution

The third proportional to 71,286 and 112,126 is: 176,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,286 : 112,126 = 112,126 : x
  2. Step 2: Convert to fraction form
    71,286/112,126 = 112,126/x
  3. Step 3: Cross multiply
    71,286x = 112,126 × 112,126
  4. Step 4: Simplify right side
    71,286x = 12,572,239,876
  5. Step 5: Solve for x
    x = 12,572,239,876/71,286
  6. Step 6: Final answer
    x = 176,363.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.