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Finding the Third Proportional to 85,508 and 187,433

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Solution

The third proportional to 85,508 and 187,433 is: 410,851.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,508 : 187,433 = 187,433 : x
  2. Step 2: Convert to fraction form
    85,508/187,433 = 187,433/x
  3. Step 3: Cross multiply
    85,508x = 187,433 × 187,433
  4. Step 4: Simplify right side
    85,508x = 35,131,129,489
  5. Step 5: Solve for x
    x = 35,131,129,489/85,508
  6. Step 6: Final answer
    x = 410,851.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.