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Finding the Third Proportional to 95,352 and 182,048

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Solution

The third proportional to 95,352 and 182,048 is: 347,569.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,352 : 182,048 = 182,048 : x
  2. Step 2: Convert to fraction form
    95,352/182,048 = 182,048/x
  3. Step 3: Cross multiply
    95,352x = 182,048 × 182,048
  4. Step 4: Simplify right side
    95,352x = 33,141,474,304
  5. Step 5: Solve for x
    x = 33,141,474,304/95,352
  6. Step 6: Final answer
    x = 347,569.79

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.