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Finding the Third Proportional to 63,544.50 and 138,155.63

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Solution

The third proportional to 63,544.50 and 138,155.63 is: 300,371.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,544.50 : 138,155.63 = 138,155.63 : x
  2. Step 2: Convert to fraction form
    63,544.50/138,155.63 = 138,155.63/x
  3. Step 3: Cross multiply
    63,544.50x = 138,155.63 × 138,155.63
  4. Step 4: Simplify right side
    63,544.50x = 19,086,976,719.14
  5. Step 5: Solve for x
    x = 19,086,976,719.14/63,544.50
  6. Step 6: Final answer
    x = 300,371.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.