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Finding the Third Proportional to 112,764 and 247,848

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Solution

The third proportional to 112,764 and 247,848 is: 544,753.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,764 : 247,848 = 247,848 : x
  2. Step 2: Convert to fraction form
    112,764/247,848 = 247,848/x
  3. Step 3: Cross multiply
    112,764x = 247,848 × 247,848
  4. Step 4: Simplify right side
    112,764x = 61,428,631,104
  5. Step 5: Solve for x
    x = 61,428,631,104/112,764
  6. Step 6: Final answer
    x = 544,753.92

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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.