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Finding the Third Proportional to 42,144.75 and 63,195.75

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Solution

The third proportional to 42,144.75 and 63,195.75 is: 94,761.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,144.75 : 63,195.75 = 63,195.75 : x
  2. Step 2: Convert to fraction form
    42,144.75/63,195.75 = 63,195.75/x
  3. Step 3: Cross multiply
    42,144.75x = 63,195.75 × 63,195.75
  4. Step 4: Simplify right side
    42,144.75x = 3,993,702,818.06
  5. Step 5: Solve for x
    x = 3,993,702,818.06/42,144.75
  6. Step 6: Final answer
    x = 94,761.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.