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Finding the Third Proportional to 112,772 and 247,868

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Solution

The third proportional to 112,772 and 247,868 is: 544,803.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,772 : 247,868 = 247,868 : x
  2. Step 2: Convert to fraction form
    112,772/247,868 = 247,868/x
  3. Step 3: Cross multiply
    112,772x = 247,868 × 247,868
  4. Step 4: Simplify right side
    112,772x = 61,438,545,424
  5. Step 5: Solve for x
    x = 61,438,545,424/112,772
  6. Step 6: Final answer
    x = 544,803.19

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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.