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Finding the Third Proportional to 112,272 and 241,176

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Solution

The third proportional to 112,272 and 241,176 is: 518,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,272 : 241,176 = 241,176 : x
  2. Step 2: Convert to fraction form
    112,272/241,176 = 241,176/x
  3. Step 3: Cross multiply
    112,272x = 241,176 × 241,176
  4. Step 4: Simplify right side
    112,272x = 58,165,862,976
  5. Step 5: Solve for x
    x = 58,165,862,976/112,272
  6. Step 6: Final answer
    x = 518,079.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.