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Finding the Third Proportional to 42,518 and 92,806.75

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Solution

The third proportional to 42,518 and 92,806.75 is: 202,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,518 : 92,806.75 = 92,806.75 : x
  2. Step 2: Convert to fraction form
    42,518/92,806.75 = 92,806.75/x
  3. Step 3: Cross multiply
    42,518x = 92,806.75 × 92,806.75
  4. Step 4: Simplify right side
    42,518x = 8,613,092,845.56
  5. Step 5: Solve for x
    x = 8,613,092,845.56/42,518
  6. Step 6: Final answer
    x = 202,575.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.