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Finding the Third Proportional to 59,420 and 130,744

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Solution

The third proportional to 59,420 and 130,744 is: 287,680.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,420 : 130,744 = 130,744 : x
  2. Step 2: Convert to fraction form
    59,420/130,744 = 130,744/x
  3. Step 3: Cross multiply
    59,420x = 130,744 × 130,744
  4. Step 4: Simplify right side
    59,420x = 17,093,993,536
  5. Step 5: Solve for x
    x = 17,093,993,536/59,420
  6. Step 6: Final answer
    x = 287,680.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.