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Finding the Third Proportional to 42,882 and 92,920

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Solution

The third proportional to 42,882 and 92,920 is: 201,346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,882 : 92,920 = 92,920 : x
  2. Step 2: Convert to fraction form
    42,882/92,920 = 92,920/x
  3. Step 3: Cross multiply
    42,882x = 92,920 × 92,920
  4. Step 4: Simplify right side
    42,882x = 8,634,126,400
  5. Step 5: Solve for x
    x = 8,634,126,400/42,882
  6. Step 6: Final answer
    x = 201,346.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.