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Finding the Third Proportional to 79,910 and 108,202

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Solution

The third proportional to 79,910 and 108,202 is: 146,510.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,910 : 108,202 = 108,202 : x
  2. Step 2: Convert to fraction form
    79,910/108,202 = 108,202/x
  3. Step 3: Cross multiply
    79,910x = 108,202 × 108,202
  4. Step 4: Simplify right side
    79,910x = 11,707,672,804
  5. Step 5: Solve for x
    x = 11,707,672,804/79,910
  6. Step 6: Final answer
    x = 146,510.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.