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Finding the Third Proportional to 42,859 and 95,654

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Solution

The third proportional to 42,859 and 95,654 is: 213,483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,859 : 95,654 = 95,654 : x
  2. Step 2: Convert to fraction form
    42,859/95,654 = 95,654/x
  3. Step 3: Cross multiply
    42,859x = 95,654 × 95,654
  4. Step 4: Simplify right side
    42,859x = 9,149,687,716
  5. Step 5: Solve for x
    x = 9,149,687,716/42,859
  6. Step 6: Final answer
    x = 213,483.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.