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Finding the Third Proportional to 51,066 and 110,870

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Solution

The third proportional to 51,066 and 110,870 is: 240,711.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,066 : 110,870 = 110,870 : x
  2. Step 2: Convert to fraction form
    51,066/110,870 = 110,870/x
  3. Step 3: Cross multiply
    51,066x = 110,870 × 110,870
  4. Step 4: Simplify right side
    51,066x = 12,292,156,900
  5. Step 5: Solve for x
    x = 12,292,156,900/51,066
  6. Step 6: Final answer
    x = 240,711.18

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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.