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Finding the Third Proportional to 42,852 and 94,876

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Solution

The third proportional to 42,852 and 94,876 is: 210,059.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,852 : 94,876 = 94,876 : x
  2. Step 2: Convert to fraction form
    42,852/94,876 = 94,876/x
  3. Step 3: Cross multiply
    42,852x = 94,876 × 94,876
  4. Step 4: Simplify right side
    42,852x = 9,001,455,376
  5. Step 5: Solve for x
    x = 9,001,455,376/42,852
  6. Step 6: Final answer
    x = 210,059.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.