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Finding the Third Proportional to 75,234 and 168,292

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Solution

The third proportional to 75,234 and 168,292 is: 376,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,234 : 168,292 = 168,292 : x
  2. Step 2: Convert to fraction form
    75,234/168,292 = 168,292/x
  3. Step 3: Cross multiply
    75,234x = 168,292 × 168,292
  4. Step 4: Simplify right side
    75,234x = 28,322,197,264
  5. Step 5: Solve for x
    x = 28,322,197,264/75,234
  6. Step 6: Final answer
    x = 376,454.76

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.