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Finding the Third Proportional to 63,657.75 and 138,267.75

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Solution

The third proportional to 63,657.75 and 138,267.75 is: 300,324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,657.75 : 138,267.75 = 138,267.75 : x
  2. Step 2: Convert to fraction form
    63,657.75/138,267.75 = 138,267.75/x
  3. Step 3: Cross multiply
    63,657.75x = 138,267.75 × 138,267.75
  4. Step 4: Simplify right side
    63,657.75x = 19,117,970,690.06
  5. Step 5: Solve for x
    x = 19,117,970,690.06/63,657.75
  6. Step 6: Final answer
    x = 300,324.32

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