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Finding the Third Proportional to 112,324 and 247,112

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Solution

The third proportional to 112,324 and 247,112 is: 543,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,324 : 247,112 = 247,112 : x
  2. Step 2: Convert to fraction form
    112,324/247,112 = 247,112/x
  3. Step 3: Cross multiply
    112,324x = 247,112 × 247,112
  4. Step 4: Simplify right side
    112,324x = 61,064,340,544
  5. Step 5: Solve for x
    x = 61,064,340,544/112,324
  6. Step 6: Final answer
    x = 543,644.64

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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.