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Finding the Third Proportional to 126,997.50 and 174,148.50

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Solution

The third proportional to 126,997.50 and 174,148.50 is: 238,805.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,997.50 : 174,148.50 = 174,148.50 : x
  2. Step 2: Convert to fraction form
    126,997.50/174,148.50 = 174,148.50/x
  3. Step 3: Cross multiply
    126,997.50x = 174,148.50 × 174,148.50
  4. Step 4: Simplify right side
    126,997.50x = 30,327,700,052.25
  5. Step 5: Solve for x
    x = 30,327,700,052.25/126,997.50
  6. Step 6: Final answer
    x = 238,805.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.