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Finding the Third Proportional to 86,576.50 and 180,080

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Solution

The third proportional to 86,576.50 and 180,080 is: 374,568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,576.50 : 180,080 = 180,080 : x
  2. Step 2: Convert to fraction form
    86,576.50/180,080 = 180,080/x
  3. Step 3: Cross multiply
    86,576.50x = 180,080 × 180,080
  4. Step 4: Simplify right side
    86,576.50x = 32,428,806,400
  5. Step 5: Solve for x
    x = 32,428,806,400/86,576.50
  6. Step 6: Final answer
    x = 374,568.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.