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Finding the Third Proportional to 76,069.13 and 111,950.86

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Solution

The third proportional to 76,069.13 and 111,950.86 is: 164,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,069.13 : 111,950.86 = 111,950.86 : x
  2. Step 2: Convert to fraction form
    76,069.13/111,950.86 = 111,950.86/x
  3. Step 3: Cross multiply
    76,069.13x = 111,950.86 × 111,950.86
  4. Step 4: Simplify right side
    76,069.13x = 12,532,994,914.80
  5. Step 5: Solve for x
    x = 12,532,994,914.80/76,069.13
  6. Step 6: Final answer
    x = 164,757.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.