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Finding the Third Proportional to 80,257 and 107,371

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Solution

The third proportional to 80,257 and 107,371 is: 143,645.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,257 : 107,371 = 107,371 : x
  2. Step 2: Convert to fraction form
    80,257/107,371 = 107,371/x
  3. Step 3: Cross multiply
    80,257x = 107,371 × 107,371
  4. Step 4: Simplify right side
    80,257x = 11,528,531,641
  5. Step 5: Solve for x
    x = 11,528,531,641/80,257
  6. Step 6: Final answer
    x = 143,645.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.