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Finding the Third Proportional to 76,309.50 and 112,182

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Solution

The third proportional to 76,309.50 and 112,182 is: 164,917.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,309.50 : 112,182 = 112,182 : x
  2. Step 2: Convert to fraction form
    76,309.50/112,182 = 112,182/x
  3. Step 3: Cross multiply
    76,309.50x = 112,182 × 112,182
  4. Step 4: Simplify right side
    76,309.50x = 12,584,801,124
  5. Step 5: Solve for x
    x = 12,584,801,124/76,309.50
  6. Step 6: Final answer
    x = 164,917.88

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