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Finding the Third Proportional to 59,682 and 130,012

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Solution

The third proportional to 59,682 and 130,012 is: 283,219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,682 : 130,012 = 130,012 : x
  2. Step 2: Convert to fraction form
    59,682/130,012 = 130,012/x
  3. Step 3: Cross multiply
    59,682x = 130,012 × 130,012
  4. Step 4: Simplify right side
    59,682x = 16,903,120,144
  5. Step 5: Solve for x
    x = 16,903,120,144/59,682
  6. Step 6: Final answer
    x = 283,219.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.