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Finding the Third Proportional to 49,669 and 108,261

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Solution

The third proportional to 49,669 and 108,261 is: 235,971.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,669 : 108,261 = 108,261 : x
  2. Step 2: Convert to fraction form
    49,669/108,261 = 108,261/x
  3. Step 3: Cross multiply
    49,669x = 108,261 × 108,261
  4. Step 4: Simplify right side
    49,669x = 11,720,444,121
  5. Step 5: Solve for x
    x = 11,720,444,121/49,669
  6. Step 6: Final answer
    x = 235,971.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.