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Finding the Third Proportional to 50,429 and 78,081

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Solution

The third proportional to 50,429 and 78,081 is: 120,895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,429 : 78,081 = 78,081 : x
  2. Step 2: Convert to fraction form
    50,429/78,081 = 78,081/x
  3. Step 3: Cross multiply
    50,429x = 78,081 × 78,081
  4. Step 4: Simplify right side
    50,429x = 6,096,642,561
  5. Step 5: Solve for x
    x = 6,096,642,561/50,429
  6. Step 6: Final answer
    x = 120,895.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.