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Finding the Third Proportional to 63,486 and 135,717

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Solution

The third proportional to 63,486 and 135,717 is: 290,128.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,486 : 135,717 = 135,717 : x
  2. Step 2: Convert to fraction form
    63,486/135,717 = 135,717/x
  3. Step 3: Cross multiply
    63,486x = 135,717 × 135,717
  4. Step 4: Simplify right side
    63,486x = 18,419,104,089
  5. Step 5: Solve for x
    x = 18,419,104,089/63,486
  6. Step 6: Final answer
    x = 290,128.60

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Why These Related Problems?

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