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Finding the Third Proportional to 55,713 and 83,834.50

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Solution

The third proportional to 55,713 and 83,834.50 is: 126,150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,713 : 83,834.50 = 83,834.50 : x
  2. Step 2: Convert to fraction form
    55,713/83,834.50 = 83,834.50/x
  3. Step 3: Cross multiply
    55,713x = 83,834.50 × 83,834.50
  4. Step 4: Simplify right side
    55,713x = 7,028,223,390.25
  5. Step 5: Solve for x
    x = 7,028,223,390.25/55,713
  6. Step 6: Final answer
    x = 126,150.51

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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.