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Finding the Third Proportional to 42,170 and 63,267

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Solution

The third proportional to 42,170 and 63,267 is: 94,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,170 : 63,267 = 63,267 : x
  2. Step 2: Convert to fraction form
    42,170/63,267 = 63,267/x
  3. Step 3: Cross multiply
    42,170x = 63,267 × 63,267
  4. Step 4: Simplify right side
    42,170x = 4,002,713,289
  5. Step 5: Solve for x
    x = 4,002,713,289/42,170
  6. Step 6: Final answer
    x = 94,918.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.