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Finding the Third Proportional to 69,471 and 107,638.50

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Solution

The third proportional to 69,471 and 107,638.50 is: 166,775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,471 : 107,638.50 = 107,638.50 : x
  2. Step 2: Convert to fraction form
    69,471/107,638.50 = 107,638.50/x
  3. Step 3: Cross multiply
    69,471x = 107,638.50 × 107,638.50
  4. Step 4: Simplify right side
    69,471x = 11,586,046,682.25
  5. Step 5: Solve for x
    x = 11,586,046,682.25/69,471
  6. Step 6: Final answer
    x = 166,775.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.