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Finding the Third Proportional to 112,906 and 247,952.75

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Solution

The third proportional to 112,906 and 247,952.75 is: 544,528.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,906 : 247,952.75 = 247,952.75 : x
  2. Step 2: Convert to fraction form
    112,906/247,952.75 = 247,952.75/x
  3. Step 3: Cross multiply
    112,906x = 247,952.75 × 247,952.75
  4. Step 4: Simplify right side
    112,906x = 61,480,566,232.56
  5. Step 5: Solve for x
    x = 61,480,566,232.56/112,906
  6. Step 6: Final answer
    x = 544,528.78

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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.