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Finding the Third Proportional to 42,162 and 63,519.75

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Solution

The third proportional to 42,162 and 63,519.75 is: 95,696.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,162 : 63,519.75 = 63,519.75 : x
  2. Step 2: Convert to fraction form
    42,162/63,519.75 = 63,519.75/x
  3. Step 3: Cross multiply
    42,162x = 63,519.75 × 63,519.75
  4. Step 4: Simplify right side
    42,162x = 4,034,758,640.06
  5. Step 5: Solve for x
    x = 4,034,758,640.06/42,162
  6. Step 6: Final answer
    x = 95,696.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.