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Finding the Third Proportional to 69,205 and 108,421

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Solution

The third proportional to 69,205 and 108,421 is: 169,859.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,205 : 108,421 = 108,421 : x
  2. Step 2: Convert to fraction form
    69,205/108,421 = 108,421/x
  3. Step 3: Cross multiply
    69,205x = 108,421 × 108,421
  4. Step 4: Simplify right side
    69,205x = 11,755,113,241
  5. Step 5: Solve for x
    x = 11,755,113,241/69,205
  6. Step 6: Final answer
    x = 169,859.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.