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Finding the Third Proportional to 63,168.61 and 138,206.25

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Solution

The third proportional to 63,168.61 and 138,206.25 is: 302,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,168.61 : 138,206.25 = 138,206.25 : x
  2. Step 2: Convert to fraction form
    63,168.61/138,206.25 = 138,206.25/x
  3. Step 3: Cross multiply
    63,168.61x = 138,206.25 × 138,206.25
  4. Step 4: Simplify right side
    63,168.61x = 19,100,967,539.06
  5. Step 5: Solve for x
    x = 19,100,967,539.06/63,168.61
  6. Step 6: Final answer
    x = 302,380.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.