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Finding the Third Proportional to 49,291 and 77,223

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Solution

The third proportional to 49,291 and 77,223 is: 120,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,291 : 77,223 = 77,223 : x
  2. Step 2: Convert to fraction form
    49,291/77,223 = 77,223/x
  3. Step 3: Cross multiply
    49,291x = 77,223 × 77,223
  4. Step 4: Simplify right side
    49,291x = 5,963,391,729
  5. Step 5: Solve for x
    x = 5,963,391,729/49,291
  6. Step 6: Final answer
    x = 120,983.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.