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Finding the Third Proportional to 49,480 and 101,392

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Solution

The third proportional to 49,480 and 101,392 is: 207,767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,480 : 101,392 = 101,392 : x
  2. Step 2: Convert to fraction form
    49,480/101,392 = 101,392/x
  3. Step 3: Cross multiply
    49,480x = 101,392 × 101,392
  4. Step 4: Simplify right side
    49,480x = 10,280,337,664
  5. Step 5: Solve for x
    x = 10,280,337,664/49,480
  6. Step 6: Final answer
    x = 207,767.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.