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Finding the Third Proportional to 62,144 and 134,656

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Solution

The third proportional to 62,144 and 134,656 is: 291,777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,144 : 134,656 = 134,656 : x
  2. Step 2: Convert to fraction form
    62,144/134,656 = 134,656/x
  3. Step 3: Cross multiply
    62,144x = 134,656 × 134,656
  4. Step 4: Simplify right side
    62,144x = 18,132,238,336
  5. Step 5: Solve for x
    x = 18,132,238,336/62,144
  6. Step 6: Final answer
    x = 291,777.78

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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.