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Finding the Third Proportional to 49,943 and 108,088

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Solution

The third proportional to 49,943 and 108,088 is: 233,926.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,943 : 108,088 = 108,088 : x
  2. Step 2: Convert to fraction form
    49,943/108,088 = 108,088/x
  3. Step 3: Cross multiply
    49,943x = 108,088 × 108,088
  4. Step 4: Simplify right side
    49,943x = 11,683,015,744
  5. Step 5: Solve for x
    x = 11,683,015,744/49,943
  6. Step 6: Final answer
    x = 233,926.99

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Why These Related Problems?

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