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Finding the Third Proportional to 63,164 and 135,880

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Solution

The third proportional to 63,164 and 135,880 is: 292,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,164 : 135,880 = 135,880 : x
  2. Step 2: Convert to fraction form
    63,164/135,880 = 135,880/x
  3. Step 3: Cross multiply
    63,164x = 135,880 × 135,880
  4. Step 4: Simplify right side
    63,164x = 18,463,374,400
  5. Step 5: Solve for x
    x = 18,463,374,400/63,164
  6. Step 6: Final answer
    x = 292,308.50

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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.