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Finding the Third Proportional to 42,291 and 92,952

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Solution

The third proportional to 42,291 and 92,952 is: 204,300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,291 : 92,952 = 92,952 : x
  2. Step 2: Convert to fraction form
    42,291/92,952 = 92,952/x
  3. Step 3: Cross multiply
    42,291x = 92,952 × 92,952
  4. Step 4: Simplify right side
    42,291x = 8,640,074,304
  5. Step 5: Solve for x
    x = 8,640,074,304/42,291
  6. Step 6: Final answer
    x = 204,300.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.