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Finding the Third Proportional to 51,074 and 112,210

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Solution

The third proportional to 51,074 and 112,210 is: 246,526.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,074 : 112,210 = 112,210 : x
  2. Step 2: Convert to fraction form
    51,074/112,210 = 112,210/x
  3. Step 3: Cross multiply
    51,074x = 112,210 × 112,210
  4. Step 4: Simplify right side
    51,074x = 12,591,084,100
  5. Step 5: Solve for x
    x = 12,591,084,100/51,074
  6. Step 6: Final answer
    x = 246,526.30

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.