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Finding the Third Proportional to 112,180.13 and 166,508.63

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Solution

The third proportional to 112,180.13 and 166,508.63 is: 247,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,180.13 : 166,508.63 = 166,508.63 : x
  2. Step 2: Convert to fraction form
    112,180.13/166,508.63 = 166,508.63/x
  3. Step 3: Cross multiply
    112,180.13x = 166,508.63 × 166,508.63
  4. Step 4: Simplify right side
    112,180.13x = 27,725,122,199.39
  5. Step 5: Solve for x
    x = 27,725,122,199.39/112,180.13
  6. Step 6: Final answer
    x = 247,148.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.