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Finding the Third Proportional to 76,658.06 and 107,421.19

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Solution

The third proportional to 76,658.06 and 107,421.19 is: 150,529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,658.06 : 107,421.19 = 107,421.19 : x
  2. Step 2: Convert to fraction form
    76,658.06/107,421.19 = 107,421.19/x
  3. Step 3: Cross multiply
    76,658.06x = 107,421.19 × 107,421.19
  4. Step 4: Simplify right side
    76,658.06x = 11,539,311,523.91
  5. Step 5: Solve for x
    x = 11,539,311,523.91/76,658.06
  6. Step 6: Final answer
    x = 150,529.65

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.