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Finding the Third Proportional to 58,441.50 and 126,223

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Solution

The third proportional to 58,441.50 and 126,223 is: 272,618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,441.50 : 126,223 = 126,223 : x
  2. Step 2: Convert to fraction form
    58,441.50/126,223 = 126,223/x
  3. Step 3: Cross multiply
    58,441.50x = 126,223 × 126,223
  4. Step 4: Simplify right side
    58,441.50x = 15,932,245,729
  5. Step 5: Solve for x
    x = 15,932,245,729/58,441.50
  6. Step 6: Final answer
    x = 272,618.70

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