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Finding the Third Proportional to 42,868 and 92,284

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Solution

The third proportional to 42,868 and 92,284 is: 198,664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,868 : 92,284 = 92,284 : x
  2. Step 2: Convert to fraction form
    42,868/92,284 = 92,284/x
  3. Step 3: Cross multiply
    42,868x = 92,284 × 92,284
  4. Step 4: Simplify right side
    42,868x = 8,516,336,656
  5. Step 5: Solve for x
    x = 8,516,336,656/42,868
  6. Step 6: Final answer
    x = 198,664.19

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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.