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Finding the Third Proportional to 81,706.50 and 115,620

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Solution

The third proportional to 81,706.50 and 115,620 is: 163,609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,706.50 : 115,620 = 115,620 : x
  2. Step 2: Convert to fraction form
    81,706.50/115,620 = 115,620/x
  3. Step 3: Cross multiply
    81,706.50x = 115,620 × 115,620
  4. Step 4: Simplify right side
    81,706.50x = 13,367,984,400
  5. Step 5: Solve for x
    x = 13,367,984,400/81,706.50
  6. Step 6: Final answer
    x = 163,609.80

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.