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Finding the Third Proportional to 75,257 and 160,882

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Solution

The third proportional to 75,257 and 160,882 is: 343,928.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,257 : 160,882 = 160,882 : x
  2. Step 2: Convert to fraction form
    75,257/160,882 = 160,882/x
  3. Step 3: Cross multiply
    75,257x = 160,882 × 160,882
  4. Step 4: Simplify right side
    75,257x = 25,883,017,924
  5. Step 5: Solve for x
    x = 25,883,017,924/75,257
  6. Step 6: Final answer
    x = 343,928.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.