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Finding the Third Proportional to 51,726 and 112,926

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Solution

The third proportional to 51,726 and 112,926 is: 246,535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,726 : 112,926 = 112,926 : x
  2. Step 2: Convert to fraction form
    51,726/112,926 = 112,926/x
  3. Step 3: Cross multiply
    51,726x = 112,926 × 112,926
  4. Step 4: Simplify right side
    51,726x = 12,752,281,476
  5. Step 5: Solve for x
    x = 12,752,281,476/51,726
  6. Step 6: Final answer
    x = 246,535.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.