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Finding the Third Proportional to 82,422 and 124,017

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Solution

The third proportional to 82,422 and 124,017 is: 186,603.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,422 : 124,017 = 124,017 : x
  2. Step 2: Convert to fraction form
    82,422/124,017 = 124,017/x
  3. Step 3: Cross multiply
    82,422x = 124,017 × 124,017
  4. Step 4: Simplify right side
    82,422x = 15,380,216,289
  5. Step 5: Solve for x
    x = 15,380,216,289/82,422
  6. Step 6: Final answer
    x = 186,603.29

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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.