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Finding the Third Proportional to 63,206.05 and 135,792.12

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Solution

The third proportional to 63,206.05 and 135,792.12 is: 291,736.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,206.05 : 135,792.12 = 135,792.12 : x
  2. Step 2: Convert to fraction form
    63,206.05/135,792.12 = 135,792.12/x
  3. Step 3: Cross multiply
    63,206.05x = 135,792.12 × 135,792.12
  4. Step 4: Simplify right side
    63,206.05x = 18,439,500,681.58
  5. Step 5: Solve for x
    x = 18,439,500,681.58/63,206.05
  6. Step 6: Final answer
    x = 291,736.32

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.