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Finding the Third Proportional to 43,258 and 92,982

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Solution

The third proportional to 43,258 and 92,982 is: 199,862.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,258 : 92,982 = 92,982 : x
  2. Step 2: Convert to fraction form
    43,258/92,982 = 92,982/x
  3. Step 3: Cross multiply
    43,258x = 92,982 × 92,982
  4. Step 4: Simplify right side
    43,258x = 8,645,652,324
  5. Step 5: Solve for x
    x = 8,645,652,324/43,258
  6. Step 6: Final answer
    x = 199,862.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.