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Finding the Third Proportional to 42,245 and 63,241

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Solution

The third proportional to 42,245 and 63,241 is: 94,672.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,245 : 63,241 = 63,241 : x
  2. Step 2: Convert to fraction form
    42,245/63,241 = 63,241/x
  3. Step 3: Cross multiply
    42,245x = 63,241 × 63,241
  4. Step 4: Simplify right side
    42,245x = 3,999,424,081
  5. Step 5: Solve for x
    x = 3,999,424,081/42,245
  6. Step 6: Final answer
    x = 94,672.13

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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.