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Finding the Third Proportional to 55,928 and 83,937

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Solution

The third proportional to 55,928 and 83,937 is: 125,973.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,928 : 83,937 = 83,937 : x
  2. Step 2: Convert to fraction form
    55,928/83,937 = 83,937/x
  3. Step 3: Cross multiply
    55,928x = 83,937 × 83,937
  4. Step 4: Simplify right side
    55,928x = 7,045,419,969
  5. Step 5: Solve for x
    x = 7,045,419,969/55,928
  6. Step 6: Final answer
    x = 125,973.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.