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Finding the Third Proportional to 49,767 and 107,550

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Solution

The third proportional to 49,767 and 107,550 is: 232,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,767 : 107,550 = 107,550 : x
  2. Step 2: Convert to fraction form
    49,767/107,550 = 107,550/x
  3. Step 3: Cross multiply
    49,767x = 107,550 × 107,550
  4. Step 4: Simplify right side
    49,767x = 11,567,002,500
  5. Step 5: Solve for x
    x = 11,567,002,500/49,767
  6. Step 6: Final answer
    x = 232,423.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.