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Finding the Third Proportional to 42,099 and 92,982

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Solution

The third proportional to 42,099 and 92,982 is: 205,364.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,099 : 92,982 = 92,982 : x
  2. Step 2: Convert to fraction form
    42,099/92,982 = 92,982/x
  3. Step 3: Cross multiply
    42,099x = 92,982 × 92,982
  4. Step 4: Simplify right side
    42,099x = 8,645,652,324
  5. Step 5: Solve for x
    x = 8,645,652,324/42,099
  6. Step 6: Final answer
    x = 205,364.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.