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Finding the Third Proportional to 26,634 and 59,180

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Solution

The third proportional to 26,634 and 59,180 is: 131,496.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,634 : 59,180 = 59,180 : x
  2. Step 2: Convert to fraction form
    26,634/59,180 = 59,180/x
  3. Step 3: Cross multiply
    26,634x = 59,180 × 59,180
  4. Step 4: Simplify right side
    26,634x = 3,502,272,400
  5. Step 5: Solve for x
    x = 3,502,272,400/26,634
  6. Step 6: Final answer
    x = 131,496.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.