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Finding the Third Proportional to 71,506.50 and 109,182

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Solution

The third proportional to 71,506.50 and 109,182 is: 166,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,506.50 : 109,182 = 109,182 : x
  2. Step 2: Convert to fraction form
    71,506.50/109,182 = 109,182/x
  3. Step 3: Cross multiply
    71,506.50x = 109,182 × 109,182
  4. Step 4: Simplify right side
    71,506.50x = 11,920,709,124
  5. Step 5: Solve for x
    x = 11,920,709,124/71,506.50
  6. Step 6: Final answer
    x = 166,708.05

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.