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Finding the Third Proportional to 49,293 and 77,226

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Solution

The third proportional to 49,293 and 77,226 is: 120,987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,293 : 77,226 = 77,226 : x
  2. Step 2: Convert to fraction form
    49,293/77,226 = 77,226/x
  3. Step 3: Cross multiply
    49,293x = 77,226 × 77,226
  4. Step 4: Simplify right side
    49,293x = 5,963,855,076
  5. Step 5: Solve for x
    x = 5,963,855,076/49,293
  6. Step 6: Final answer
    x = 120,987.87

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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.