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Finding the Third Proportional to 75,267 and 162,414

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Solution

The third proportional to 75,267 and 162,414 is: 350,463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,267 : 162,414 = 162,414 : x
  2. Step 2: Convert to fraction form
    75,267/162,414 = 162,414/x
  3. Step 3: Cross multiply
    75,267x = 162,414 × 162,414
  4. Step 4: Simplify right side
    75,267x = 26,378,307,396
  5. Step 5: Solve for x
    x = 26,378,307,396/75,267
  6. Step 6: Final answer
    x = 350,463.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.