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Finding the Third Proportional to 84,946 and 187,995

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Solution

The third proportional to 84,946 and 187,995 is: 416,053.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,946 : 187,995 = 187,995 : x
  2. Step 2: Convert to fraction form
    84,946/187,995 = 187,995/x
  3. Step 3: Cross multiply
    84,946x = 187,995 × 187,995
  4. Step 4: Simplify right side
    84,946x = 35,342,120,025
  5. Step 5: Solve for x
    x = 35,342,120,025/84,946
  6. Step 6: Final answer
    x = 416,053.96

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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.