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Finding the Third Proportional to 60,412 and 131,205

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Solution

The third proportional to 60,412 and 131,205 is: 284,955.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,412 : 131,205 = 131,205 : x
  2. Step 2: Convert to fraction form
    60,412/131,205 = 131,205/x
  3. Step 3: Cross multiply
    60,412x = 131,205 × 131,205
  4. Step 4: Simplify right side
    60,412x = 17,214,752,025
  5. Step 5: Solve for x
    x = 17,214,752,025/60,412
  6. Step 6: Final answer
    x = 284,955.84

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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.