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Finding the Third Proportional to 51,642 and 112,760

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Solution

The third proportional to 51,642 and 112,760 is: 246,210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,642 : 112,760 = 112,760 : x
  2. Step 2: Convert to fraction form
    51,642/112,760 = 112,760/x
  3. Step 3: Cross multiply
    51,642x = 112,760 × 112,760
  4. Step 4: Simplify right side
    51,642x = 12,714,817,600
  5. Step 5: Solve for x
    x = 12,714,817,600/51,642
  6. Step 6: Final answer
    x = 246,210.79

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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.