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Finding the Third Proportional to 69,637 and 104,610

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Solution

The third proportional to 69,637 and 104,610 is: 157,147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,637 : 104,610 = 104,610 : x
  2. Step 2: Convert to fraction form
    69,637/104,610 = 104,610/x
  3. Step 3: Cross multiply
    69,637x = 104,610 × 104,610
  4. Step 4: Simplify right side
    69,637x = 10,943,252,100
  5. Step 5: Solve for x
    x = 10,943,252,100/69,637
  6. Step 6: Final answer
    x = 157,147.09

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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.