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Finding the Third Proportional to 135,001.69 and 174,208.22

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Solution

The third proportional to 135,001.69 and 174,208.22 is: 224,800.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,001.69 : 174,208.22 = 174,208.22 : x
  2. Step 2: Convert to fraction form
    135,001.69/174,208.22 = 174,208.22/x
  3. Step 3: Cross multiply
    135,001.69x = 174,208.22 × 174,208.22
  4. Step 4: Simplify right side
    135,001.69x = 30,348,503,480.05
  5. Step 5: Solve for x
    x = 30,348,503,480.05/135,001.69
  6. Step 6: Final answer
    x = 224,800.92

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.