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Finding the Third Proportional to 53,034.75 and 119,944.13

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Solution

The third proportional to 53,034.75 and 119,944.13 is: 271,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,034.75 : 119,944.13 = 119,944.13 : x
  2. Step 2: Convert to fraction form
    53,034.75/119,944.13 = 119,944.13/x
  3. Step 3: Cross multiply
    53,034.75x = 119,944.13 × 119,944.13
  4. Step 4: Simplify right side
    53,034.75x = 14,386,593,122.02
  5. Step 5: Solve for x
    x = 14,386,593,122.02/53,034.75
  6. Step 6: Final answer
    x = 271,267.29

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.