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Finding the Third Proportional to 86,065 and 123,958

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Solution

The third proportional to 86,065 and 123,958 is: 178,534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,065 : 123,958 = 123,958 : x
  2. Step 2: Convert to fraction form
    86,065/123,958 = 123,958/x
  3. Step 3: Cross multiply
    86,065x = 123,958 × 123,958
  4. Step 4: Simplify right side
    86,065x = 15,365,585,764
  5. Step 5: Solve for x
    x = 15,365,585,764/86,065
  6. Step 6: Final answer
    x = 178,534.66

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.