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Finding the Third Proportional to 83,090 and 182,793

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Solution

The third proportional to 83,090 and 182,793 is: 402,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,090 : 182,793 = 182,793 : x
  2. Step 2: Convert to fraction form
    83,090/182,793 = 182,793/x
  3. Step 3: Cross multiply
    83,090x = 182,793 × 182,793
  4. Step 4: Simplify right side
    83,090x = 33,413,280,849
  5. Step 5: Solve for x
    x = 33,413,280,849/83,090
  6. Step 6: Final answer
    x = 402,133.60

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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.