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Finding the Third Proportional to 63,260 and 135,899

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Solution

The third proportional to 63,260 and 135,899 is: 291,946.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,260 : 135,899 = 135,899 : x
  2. Step 2: Convert to fraction form
    63,260/135,899 = 135,899/x
  3. Step 3: Cross multiply
    63,260x = 135,899 × 135,899
  4. Step 4: Simplify right side
    63,260x = 18,468,538,201
  5. Step 5: Solve for x
    x = 18,468,538,201/63,260
  6. Step 6: Final answer
    x = 291,946.54

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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.