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Finding the Third Proportional to 84,948 and 187,999

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Solution

The third proportional to 84,948 and 187,999 is: 416,061.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,948 : 187,999 = 187,999 : x
  2. Step 2: Convert to fraction form
    84,948/187,999 = 187,999/x
  3. Step 3: Cross multiply
    84,948x = 187,999 × 187,999
  4. Step 4: Simplify right side
    84,948x = 35,343,624,001
  5. Step 5: Solve for x
    x = 35,343,624,001/84,948
  6. Step 6: Final answer
    x = 416,061.87

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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.