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Finding the Third Proportional to 126,247.50 and 272,173.50

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Solution

The third proportional to 126,247.50 and 272,173.50 is: 586,771.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,247.50 : 272,173.50 = 272,173.50 : x
  2. Step 2: Convert to fraction form
    126,247.50/272,173.50 = 272,173.50/x
  3. Step 3: Cross multiply
    126,247.50x = 272,173.50 × 272,173.50
  4. Step 4: Simplify right side
    126,247.50x = 74,078,414,102.25
  5. Step 5: Solve for x
    x = 74,078,414,102.25/126,247.50
  6. Step 6: Final answer
    x = 586,771.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.