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Finding the Third Proportional to 62,500.36 and 138,511.42

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Solution

The third proportional to 62,500.36 and 138,511.42 is: 306,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,500.36 : 138,511.42 = 138,511.42 : x
  2. Step 2: Convert to fraction form
    62,500.36/138,511.42 = 138,511.42/x
  3. Step 3: Cross multiply
    62,500.36x = 138,511.42 × 138,511.42
  4. Step 4: Simplify right side
    62,500.36x = 19,185,414,530.89
  5. Step 5: Solve for x
    x = 19,185,414,530.89/62,500.36
  6. Step 6: Final answer
    x = 306,964.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.