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Finding the Third Proportional to 49,086 and 75,330

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Solution

The third proportional to 49,086 and 75,330 is: 115,605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,086 : 75,330 = 75,330 : x
  2. Step 2: Convert to fraction form
    49,086/75,330 = 75,330/x
  3. Step 3: Cross multiply
    49,086x = 75,330 × 75,330
  4. Step 4: Simplify right side
    49,086x = 5,674,608,900
  5. Step 5: Solve for x
    x = 5,674,608,900/49,086
  6. Step 6: Final answer
    x = 115,605.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.