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Finding the Third Proportional to 50,045 and 108,803

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Solution

The third proportional to 50,045 and 108,803 is: 236,548.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,045 : 108,803 = 108,803 : x
  2. Step 2: Convert to fraction form
    50,045/108,803 = 108,803/x
  3. Step 3: Cross multiply
    50,045x = 108,803 × 108,803
  4. Step 4: Simplify right side
    50,045x = 11,838,092,809
  5. Step 5: Solve for x
    x = 11,838,092,809/50,045
  6. Step 6: Final answer
    x = 236,548.96

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Why These Related Problems?

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