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Finding the Third Proportional to 49,910 and 73,403

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Solution

The third proportional to 49,910 and 73,403 is: 107,954.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,910 : 73,403 = 73,403 : x
  2. Step 2: Convert to fraction form
    49,910/73,403 = 73,403/x
  3. Step 3: Cross multiply
    49,910x = 73,403 × 73,403
  4. Step 4: Simplify right side
    49,910x = 5,388,000,409
  5. Step 5: Solve for x
    x = 5,388,000,409/49,910
  6. Step 6: Final answer
    x = 107,954.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.