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Finding the Third Proportional to 112,664.25 and 175,462.88

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Solution

The third proportional to 112,664.25 and 175,462.88 is: 273,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,664.25 : 175,462.88 = 175,462.88 : x
  2. Step 2: Convert to fraction form
    112,664.25/175,462.88 = 175,462.88/x
  3. Step 3: Cross multiply
    112,664.25x = 175,462.88 × 175,462.88
  4. Step 4: Simplify right side
    112,664.25x = 30,787,220,503.27
  5. Step 5: Solve for x
    x = 30,787,220,503.27/112,664.25
  6. Step 6: Final answer
    x = 273,265.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.