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Finding the Third Proportional to 112,287 and 178,572.75

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Solution

The third proportional to 112,287 and 178,572.75 is: 283,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,287 : 178,572.75 = 178,572.75 : x
  2. Step 2: Convert to fraction form
    112,287/178,572.75 = 178,572.75/x
  3. Step 3: Cross multiply
    112,287x = 178,572.75 × 178,572.75
  4. Step 4: Simplify right side
    112,287x = 31,888,227,042.56
  5. Step 5: Solve for x
    x = 31,888,227,042.56/112,287
  6. Step 6: Final answer
    x = 283,988.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.