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Finding the Third Proportional to 49,270 and 75,814

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Solution

The third proportional to 49,270 and 75,814 is: 116,658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,270 : 75,814 = 75,814 : x
  2. Step 2: Convert to fraction form
    49,270/75,814 = 75,814/x
  3. Step 3: Cross multiply
    49,270x = 75,814 × 75,814
  4. Step 4: Simplify right side
    49,270x = 5,747,762,596
  5. Step 5: Solve for x
    x = 5,747,762,596/49,270
  6. Step 6: Final answer
    x = 116,658.47

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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.