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Finding the Third Proportional to 69,089 and 103,634

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Solution

The third proportional to 69,089 and 103,634 is: 155,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,089 : 103,634 = 103,634 : x
  2. Step 2: Convert to fraction form
    69,089/103,634 = 103,634/x
  3. Step 3: Cross multiply
    69,089x = 103,634 × 103,634
  4. Step 4: Simplify right side
    69,089x = 10,740,005,956
  5. Step 5: Solve for x
    x = 10,740,005,956/69,089
  6. Step 6: Final answer
    x = 155,451.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.