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Finding the Third Proportional to 50,716 and 72,087

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Solution

The third proportional to 50,716 and 72,087 is: 102,463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,716 : 72,087 = 72,087 : x
  2. Step 2: Convert to fraction form
    50,716/72,087 = 72,087/x
  3. Step 3: Cross multiply
    50,716x = 72,087 × 72,087
  4. Step 4: Simplify right side
    50,716x = 5,196,535,569
  5. Step 5: Solve for x
    x = 5,196,535,569/50,716
  6. Step 6: Final answer
    x = 102,463.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.