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Finding the Third Proportional to 112,165 and 247,091

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Solution

The third proportional to 112,165 and 247,091 is: 544,322.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,165 : 247,091 = 247,091 : x
  2. Step 2: Convert to fraction form
    112,165/247,091 = 247,091/x
  3. Step 3: Cross multiply
    112,165x = 247,091 × 247,091
  4. Step 4: Simplify right side
    112,165x = 61,053,962,281
  5. Step 5: Solve for x
    x = 61,053,962,281/112,165
  6. Step 6: Final answer
    x = 544,322.76

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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.