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Finding the Third Proportional to 112,761 and 247,841

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Solution

The third proportional to 112,761 and 247,841 is: 544,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,761 : 247,841 = 247,841 : x
  2. Step 2: Convert to fraction form
    112,761/247,841 = 247,841/x
  3. Step 3: Cross multiply
    112,761x = 247,841 × 247,841
  4. Step 4: Simplify right side
    112,761x = 61,425,161,281
  5. Step 5: Solve for x
    x = 61,425,161,281/112,761
  6. Step 6: Final answer
    x = 544,737.64

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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.