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Finding the Third Proportional to 71,313 and 110,367

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Solution

The third proportional to 71,313 and 110,367 is: 170,808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,313 : 110,367 = 110,367 : x
  2. Step 2: Convert to fraction form
    71,313/110,367 = 110,367/x
  3. Step 3: Cross multiply
    71,313x = 110,367 × 110,367
  4. Step 4: Simplify right side
    71,313x = 12,180,874,689
  5. Step 5: Solve for x
    x = 12,180,874,689/71,313
  6. Step 6: Final answer
    x = 170,808.61

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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.