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Finding the Third Proportional to 63,946.13 and 135,685.13

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Solution

The third proportional to 63,946.13 and 135,685.13 is: 287,905.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,946.13 : 135,685.13 = 135,685.13 : x
  2. Step 2: Convert to fraction form
    63,946.13/135,685.13 = 135,685.13/x
  3. Step 3: Cross multiply
    63,946.13x = 135,685.13 × 135,685.13
  4. Step 4: Simplify right side
    63,946.13x = 18,410,453,146.27
  5. Step 5: Solve for x
    x = 18,410,453,146.27/63,946.13
  6. Step 6: Final answer
    x = 287,905.69

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.