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Finding the Third Proportional to 42,000 and 63,876

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Solution

The third proportional to 42,000 and 63,876 is: 97,146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,000 : 63,876 = 63,876 : x
  2. Step 2: Convert to fraction form
    42,000/63,876 = 63,876/x
  3. Step 3: Cross multiply
    42,000x = 63,876 × 63,876
  4. Step 4: Simplify right side
    42,000x = 4,080,143,376
  5. Step 5: Solve for x
    x = 4,080,143,376/42,000
  6. Step 6: Final answer
    x = 97,146.27

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.