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Finding the Third Proportional to 73,890 and 158,282

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Solution

The third proportional to 73,890 and 158,282 is: 339,060.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,890 : 158,282 = 158,282 : x
  2. Step 2: Convert to fraction form
    73,890/158,282 = 158,282/x
  3. Step 3: Cross multiply
    73,890x = 158,282 × 158,282
  4. Step 4: Simplify right side
    73,890x = 25,053,191,524
  5. Step 5: Solve for x
    x = 25,053,191,524/73,890
  6. Step 6: Final answer
    x = 339,060.65

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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.