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Finding the Third Proportional to 69,472 and 107,610

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Solution

The third proportional to 69,472 and 107,610 is: 166,684.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,472 : 107,610 = 107,610 : x
  2. Step 2: Convert to fraction form
    69,472/107,610 = 107,610/x
  3. Step 3: Cross multiply
    69,472x = 107,610 × 107,610
  4. Step 4: Simplify right side
    69,472x = 11,579,912,100
  5. Step 5: Solve for x
    x = 11,579,912,100/69,472
  6. Step 6: Final answer
    x = 166,684.59

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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.