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Finding the Third Proportional to 82,986 and 124,539.75

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Solution

The third proportional to 82,986 and 124,539.75 is: 186,900.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,986 : 124,539.75 = 124,539.75 : x
  2. Step 2: Convert to fraction form
    82,986/124,539.75 = 124,539.75/x
  3. Step 3: Cross multiply
    82,986x = 124,539.75 × 124,539.75
  4. Step 4: Simplify right side
    82,986x = 15,510,149,330.06
  5. Step 5: Solve for x
    x = 15,510,149,330.06/82,986
  6. Step 6: Final answer
    x = 186,900.79

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Why These Related Problems?

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