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Finding the Third Proportional to 63,522 and 87,183

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Solution

The third proportional to 63,522 and 87,183 is: 119,657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,522 : 87,183 = 87,183 : x
  2. Step 2: Convert to fraction form
    63,522/87,183 = 87,183/x
  3. Step 3: Cross multiply
    63,522x = 87,183 × 87,183
  4. Step 4: Simplify right side
    63,522x = 7,600,875,489
  5. Step 5: Solve for x
    x = 7,600,875,489/63,522
  6. Step 6: Final answer
    x = 119,657.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.