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Finding the Third Proportional to 62,672 and 135,034

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Solution

The third proportional to 62,672 and 135,034 is: 290,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,672 : 135,034 = 135,034 : x
  2. Step 2: Convert to fraction form
    62,672/135,034 = 135,034/x
  3. Step 3: Cross multiply
    62,672x = 135,034 × 135,034
  4. Step 4: Simplify right side
    62,672x = 18,234,181,156
  5. Step 5: Solve for x
    x = 18,234,181,156/62,672
  6. Step 6: Final answer
    x = 290,946.21

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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.