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Finding the Third Proportional to 63,086 and 135,472

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Solution

The third proportional to 63,086 and 135,472 is: 290,914.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,086 : 135,472 = 135,472 : x
  2. Step 2: Convert to fraction form
    63,086/135,472 = 135,472/x
  3. Step 3: Cross multiply
    63,086x = 135,472 × 135,472
  4. Step 4: Simplify right side
    63,086x = 18,352,662,784
  5. Step 5: Solve for x
    x = 18,352,662,784/63,086
  6. Step 6: Final answer
    x = 290,914.99

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Why These Related Problems?

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