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Finding the Third Proportional to 62,309.50 and 137,080

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Solution

The third proportional to 62,309.50 and 137,080 is: 301,574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,309.50 : 137,080 = 137,080 : x
  2. Step 2: Convert to fraction form
    62,309.50/137,080 = 137,080/x
  3. Step 3: Cross multiply
    62,309.50x = 137,080 × 137,080
  4. Step 4: Simplify right side
    62,309.50x = 18,790,926,400
  5. Step 5: Solve for x
    x = 18,790,926,400/62,309.50
  6. Step 6: Final answer
    x = 301,574.02

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.