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Finding the Third Proportional to 54,328 and 83,950

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Solution

The third proportional to 54,328 and 83,950 is: 129,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,328 : 83,950 = 83,950 : x
  2. Step 2: Convert to fraction form
    54,328/83,950 = 83,950/x
  3. Step 3: Cross multiply
    54,328x = 83,950 × 83,950
  4. Step 4: Simplify right side
    54,328x = 7,047,602,500
  5. Step 5: Solve for x
    x = 7,047,602,500/54,328
  6. Step 6: Final answer
    x = 129,723.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.