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Finding the Third Proportional to 76,950 and 118,118.25

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Solution

The third proportional to 76,950 and 118,118.25 is: 181,311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,950 : 118,118.25 = 118,118.25 : x
  2. Step 2: Convert to fraction form
    76,950/118,118.25 = 118,118.25/x
  3. Step 3: Cross multiply
    76,950x = 118,118.25 × 118,118.25
  4. Step 4: Simplify right side
    76,950x = 13,951,920,983.06
  5. Step 5: Solve for x
    x = 13,951,920,983.06/76,950
  6. Step 6: Final answer
    x = 181,311.51

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.