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Finding the Third Proportional to 75,264 and 162,282

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Solution

The third proportional to 75,264 and 162,282 is: 349,907.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,264 : 162,282 = 162,282 : x
  2. Step 2: Convert to fraction form
    75,264/162,282 = 162,282/x
  3. Step 3: Cross multiply
    75,264x = 162,282 × 162,282
  4. Step 4: Simplify right side
    75,264x = 26,335,447,524
  5. Step 5: Solve for x
    x = 26,335,447,524/75,264
  6. Step 6: Final answer
    x = 349,907.63

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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.