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Finding the Third Proportional to 63,837 and 87,601.50

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Solution

The third proportional to 63,837 and 87,601.50 is: 120,212.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,837 : 87,601.50 = 87,601.50 : x
  2. Step 2: Convert to fraction form
    63,837/87,601.50 = 87,601.50/x
  3. Step 3: Cross multiply
    63,837x = 87,601.50 × 87,601.50
  4. Step 4: Simplify right side
    63,837x = 7,674,022,802.25
  5. Step 5: Solve for x
    x = 7,674,022,802.25/63,837
  6. Step 6: Final answer
    x = 120,212.77

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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.