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Finding the Third Proportional to 60,410 and 126,328

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Solution

The third proportional to 60,410 and 126,328 is: 264,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,410 : 126,328 = 126,328 : x
  2. Step 2: Convert to fraction form
    60,410/126,328 = 126,328/x
  3. Step 3: Cross multiply
    60,410x = 126,328 × 126,328
  4. Step 4: Simplify right side
    60,410x = 15,958,763,584
  5. Step 5: Solve for x
    x = 15,958,763,584/60,410
  6. Step 6: Final answer
    x = 264,174.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.