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Finding the Third Proportional to 112,216 and 170,214

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Solution

The third proportional to 112,216 and 170,214 is: 258,187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,216 : 170,214 = 170,214 : x
  2. Step 2: Convert to fraction form
    112,216/170,214 = 170,214/x
  3. Step 3: Cross multiply
    112,216x = 170,214 × 170,214
  4. Step 4: Simplify right side
    112,216x = 28,972,805,796
  5. Step 5: Solve for x
    x = 28,972,805,796/112,216
  6. Step 6: Final answer
    x = 258,187.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.