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Finding the Third Proportional to 83,681 and 183,948

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Solution

The third proportional to 83,681 and 183,948 is: 404,355.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,681 : 183,948 = 183,948 : x
  2. Step 2: Convert to fraction form
    83,681/183,948 = 183,948/x
  3. Step 3: Cross multiply
    83,681x = 183,948 × 183,948
  4. Step 4: Simplify right side
    83,681x = 33,836,866,704
  5. Step 5: Solve for x
    x = 33,836,866,704/83,681
  6. Step 6: Final answer
    x = 404,355.43

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Why These Related Problems?

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