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Finding the Third Proportional to 90,237 and 126,164.44

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Solution

The third proportional to 90,237 and 126,164.44 is: 176,396.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,237 : 126,164.44 = 126,164.44 : x
  2. Step 2: Convert to fraction form
    90,237/126,164.44 = 126,164.44/x
  3. Step 3: Cross multiply
    90,237x = 126,164.44 × 126,164.44
  4. Step 4: Simplify right side
    90,237x = 15,917,465,289.69
  5. Step 5: Solve for x
    x = 15,917,465,289.69/90,237
  6. Step 6: Final answer
    x = 176,396.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.