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Finding the Third Proportional to 83,540 and 183,622

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Solution

The third proportional to 83,540 and 183,622 is: 403,603.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,540 : 183,622 = 183,622 : x
  2. Step 2: Convert to fraction form
    83,540/183,622 = 183,622/x
  3. Step 3: Cross multiply
    83,540x = 183,622 × 183,622
  4. Step 4: Simplify right side
    83,540x = 33,717,038,884
  5. Step 5: Solve for x
    x = 33,717,038,884/83,540
  6. Step 6: Final answer
    x = 403,603.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.