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Finding the Third Proportional to 83,154 and 182,411

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Solution

The third proportional to 83,154 and 182,411 is: 400,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,154 : 182,411 = 182,411 : x
  2. Step 2: Convert to fraction form
    83,154/182,411 = 182,411/x
  3. Step 3: Cross multiply
    83,154x = 182,411 × 182,411
  4. Step 4: Simplify right side
    83,154x = 33,273,772,921
  5. Step 5: Solve for x
    x = 33,273,772,921/83,154
  6. Step 6: Final answer
    x = 400,146.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.