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Finding the Third Proportional to 62,309.50 and 137,074

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Solution

The third proportional to 62,309.50 and 137,074 is: 301,547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,309.50 : 137,074 = 137,074 : x
  2. Step 2: Convert to fraction form
    62,309.50/137,074 = 137,074/x
  3. Step 3: Cross multiply
    62,309.50x = 137,074 × 137,074
  4. Step 4: Simplify right side
    62,309.50x = 18,789,281,476
  5. Step 5: Solve for x
    x = 18,789,281,476/62,309.50
  6. Step 6: Final answer
    x = 301,547.62

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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.