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Finding the Third Proportional to 69,089 and 108,260

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Solution

The third proportional to 69,089 and 108,260 is: 169,639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,089 : 108,260 = 108,260 : x
  2. Step 2: Convert to fraction form
    69,089/108,260 = 108,260/x
  3. Step 3: Cross multiply
    69,089x = 108,260 × 108,260
  4. Step 4: Simplify right side
    69,089x = 11,720,227,600
  5. Step 5: Solve for x
    x = 11,720,227,600/69,089
  6. Step 6: Final answer
    x = 169,639.56

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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.