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Finding the Third Proportional to 49,696 and 77,832

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Solution

The third proportional to 49,696 and 77,832 is: 121,897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,696 : 77,832 = 77,832 : x
  2. Step 2: Convert to fraction form
    49,696/77,832 = 77,832/x
  3. Step 3: Cross multiply
    49,696x = 77,832 × 77,832
  4. Step 4: Simplify right side
    49,696x = 6,057,820,224
  5. Step 5: Solve for x
    x = 6,057,820,224/49,696
  6. Step 6: Final answer
    x = 121,897.54

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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.