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Finding the Third Proportional to 60,510 and 131,226

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Solution

The third proportional to 60,510 and 131,226 is: 284,585.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,510 : 131,226 = 131,226 : x
  2. Step 2: Convert to fraction form
    60,510/131,226 = 131,226/x
  3. Step 3: Cross multiply
    60,510x = 131,226 × 131,226
  4. Step 4: Simplify right side
    60,510x = 17,220,263,076
  5. Step 5: Solve for x
    x = 17,220,263,076/60,510
  6. Step 6: Final answer
    x = 284,585.41

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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.