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Finding the Third Proportional to 112,754 and 247,828

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Solution

The third proportional to 112,754 and 247,828 is: 544,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,754 : 247,828 = 247,828 : x
  2. Step 2: Convert to fraction form
    112,754/247,828 = 247,828/x
  3. Step 3: Cross multiply
    112,754x = 247,828 × 247,828
  4. Step 4: Simplify right side
    112,754x = 61,418,717,584
  5. Step 5: Solve for x
    x = 61,418,717,584/112,754
  6. Step 6: Final answer
    x = 544,714.31

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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.