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Finding the Third Proportional to 36,563.91 and 78,139.69

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Solution

The third proportional to 36,563.91 and 78,139.69 is: 166,990.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,563.91 : 78,139.69 = 78,139.69 : x
  2. Step 2: Convert to fraction form
    36,563.91/78,139.69 = 78,139.69/x
  3. Step 3: Cross multiply
    36,563.91x = 78,139.69 × 78,139.69
  4. Step 4: Simplify right side
    36,563.91x = 6,105,810,762.60
  5. Step 5: Solve for x
    x = 6,105,810,762.60/36,563.91
  6. Step 6: Final answer
    x = 166,990.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.