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Finding the Third Proportional to 42,340 and 60,246

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Solution

The third proportional to 42,340 and 60,246 is: 85,724.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,340 : 60,246 = 60,246 : x
  2. Step 2: Convert to fraction form
    42,340/60,246 = 60,246/x
  3. Step 3: Cross multiply
    42,340x = 60,246 × 60,246
  4. Step 4: Simplify right side
    42,340x = 3,629,580,516
  5. Step 5: Solve for x
    x = 3,629,580,516/42,340
  6. Step 6: Final answer
    x = 85,724.62

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.