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Finding the Third Proportional to 112,170 and 247,670

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Solution

The third proportional to 112,170 and 247,670 is: 546,852.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,170 : 247,670 = 247,670 : x
  2. Step 2: Convert to fraction form
    112,170/247,670 = 247,670/x
  3. Step 3: Cross multiply
    112,170x = 247,670 × 247,670
  4. Step 4: Simplify right side
    112,170x = 61,340,428,900
  5. Step 5: Solve for x
    x = 61,340,428,900/112,170
  6. Step 6: Final answer
    x = 546,852.36

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.