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Finding the Third Proportional to 85,469 and 187,048

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Solution

The third proportional to 85,469 and 187,048 is: 409,352.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,469 : 187,048 = 187,048 : x
  2. Step 2: Convert to fraction form
    85,469/187,048 = 187,048/x
  3. Step 3: Cross multiply
    85,469x = 187,048 × 187,048
  4. Step 4: Simplify right side
    85,469x = 34,986,954,304
  5. Step 5: Solve for x
    x = 34,986,954,304/85,469
  6. Step 6: Final answer
    x = 409,352.56

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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.