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Finding the Third Proportional to 50,015 and 75,558

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Solution

The third proportional to 50,015 and 75,558 is: 114,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,015 : 75,558 = 75,558 : x
  2. Step 2: Convert to fraction form
    50,015/75,558 = 75,558/x
  3. Step 3: Cross multiply
    50,015x = 75,558 × 75,558
  4. Step 4: Simplify right side
    50,015x = 5,709,011,364
  5. Step 5: Solve for x
    x = 5,709,011,364/50,015
  6. Step 6: Final answer
    x = 114,145.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.