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Finding the Third Proportional to 58,459.50 and 126,375.75

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Solution

The third proportional to 58,459.50 and 126,375.75 is: 273,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,459.50 : 126,375.75 = 126,375.75 : x
  2. Step 2: Convert to fraction form
    58,459.50/126,375.75 = 126,375.75/x
  3. Step 3: Cross multiply
    58,459.50x = 126,375.75 × 126,375.75
  4. Step 4: Simplify right side
    58,459.50x = 15,970,830,188.06
  5. Step 5: Solve for x
    x = 15,970,830,188.06/58,459.50
  6. Step 6: Final answer
    x = 273,194.78

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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.