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Finding the Third Proportional to 51,257 and 112,612

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Solution

The third proportional to 51,257 and 112,612 is: 247,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,257 : 112,612 = 112,612 : x
  2. Step 2: Convert to fraction form
    51,257/112,612 = 112,612/x
  3. Step 3: Cross multiply
    51,257x = 112,612 × 112,612
  4. Step 4: Simplify right side
    51,257x = 12,681,462,544
  5. Step 5: Solve for x
    x = 12,681,462,544/51,257
  6. Step 6: Final answer
    x = 247,409.38

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Why These Related Problems?

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