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Finding the Third Proportional to 62,142 and 134,652

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Solution

The third proportional to 62,142 and 134,652 is: 291,769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,142 : 134,652 = 134,652 : x
  2. Step 2: Convert to fraction form
    62,142/134,652 = 134,652/x
  3. Step 3: Cross multiply
    62,142x = 134,652 × 134,652
  4. Step 4: Simplify right side
    62,142x = 18,131,161,104
  5. Step 5: Solve for x
    x = 18,131,161,104/62,142
  6. Step 6: Final answer
    x = 291,769.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.