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Finding the Third Proportional to 63,244.69 and 135,455.06

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Solution

The third proportional to 63,244.69 and 135,455.06 is: 290,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,244.69 : 135,455.06 = 135,455.06 : x
  2. Step 2: Convert to fraction form
    63,244.69/135,455.06 = 135,455.06/x
  3. Step 3: Cross multiply
    63,244.69x = 135,455.06 × 135,455.06
  4. Step 4: Simplify right side
    63,244.69x = 18,348,073,956.88
  5. Step 5: Solve for x
    x = 18,348,073,956.88/63,244.69
  6. Step 6: Final answer
    x = 290,112.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.