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Finding the Third Proportional to 85,675 and 185,651

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Solution

The third proportional to 85,675 and 185,651 is: 402,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,675 : 185,651 = 185,651 : x
  2. Step 2: Convert to fraction form
    85,675/185,651 = 185,651/x
  3. Step 3: Cross multiply
    85,675x = 185,651 × 185,651
  4. Step 4: Simplify right side
    85,675x = 34,466,293,801
  5. Step 5: Solve for x
    x = 34,466,293,801/85,675
  6. Step 6: Final answer
    x = 402,291.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.