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Finding the Third Proportional to 42,672 and 91,882

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Solution

The third proportional to 42,672 and 91,882 is: 197,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,672 : 91,882 = 91,882 : x
  2. Step 2: Convert to fraction form
    42,672/91,882 = 91,882/x
  3. Step 3: Cross multiply
    42,672x = 91,882 × 91,882
  4. Step 4: Simplify right side
    42,672x = 8,442,301,924
  5. Step 5: Solve for x
    x = 8,442,301,924/42,672
  6. Step 6: Final answer
    x = 197,841.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.