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Finding the Third Proportional to 55,928 and 114,448

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Solution

The third proportional to 55,928 and 114,448 is: 234,200.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,928 : 114,448 = 114,448 : x
  2. Step 2: Convert to fraction form
    55,928/114,448 = 114,448/x
  3. Step 3: Cross multiply
    55,928x = 114,448 × 114,448
  4. Step 4: Simplify right side
    55,928x = 13,098,344,704
  5. Step 5: Solve for x
    x = 13,098,344,704/55,928
  6. Step 6: Final answer
    x = 234,200.13

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.