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Finding the Third Proportional to 71,956.50 and 152,682

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Solution

The third proportional to 71,956.50 and 152,682 is: 323,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,956.50 : 152,682 = 152,682 : x
  2. Step 2: Convert to fraction form
    71,956.50/152,682 = 152,682/x
  3. Step 3: Cross multiply
    71,956.50x = 152,682 × 152,682
  4. Step 4: Simplify right side
    71,956.50x = 23,311,793,124
  5. Step 5: Solve for x
    x = 23,311,793,124/71,956.50
  6. Step 6: Final answer
    x = 323,970.64

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.