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Finding the Third Proportional to 40,874 and 63,119

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Solution

The third proportional to 40,874 and 63,119 is: 97,470.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,874 : 63,119 = 63,119 : x
  2. Step 2: Convert to fraction form
    40,874/63,119 = 63,119/x
  3. Step 3: Cross multiply
    40,874x = 63,119 × 63,119
  4. Step 4: Simplify right side
    40,874x = 3,984,008,161
  5. Step 5: Solve for x
    x = 3,984,008,161/40,874
  6. Step 6: Final answer
    x = 97,470.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.