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Finding the Third Proportional to 51,810 and 106,942

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Solution

The third proportional to 51,810 and 106,942 is: 220,741.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,810 : 106,942 = 106,942 : x
  2. Step 2: Convert to fraction form
    51,810/106,942 = 106,942/x
  3. Step 3: Cross multiply
    51,810x = 106,942 × 106,942
  4. Step 4: Simplify right side
    51,810x = 11,436,591,364
  5. Step 5: Solve for x
    x = 11,436,591,364/51,810
  6. Step 6: Final answer
    x = 220,741.00

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.