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Finding the Third Proportional to 49,292 and 106,888

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Solution

The third proportional to 49,292 and 106,888 is: 231,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,292 : 106,888 = 106,888 : x
  2. Step 2: Convert to fraction form
    49,292/106,888 = 106,888/x
  3. Step 3: Cross multiply
    49,292x = 106,888 × 106,888
  4. Step 4: Simplify right side
    49,292x = 11,425,044,544
  5. Step 5: Solve for x
    x = 11,425,044,544/49,292
  6. Step 6: Final answer
    x = 231,782.94

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.