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Finding the Third Proportional to 67,052 and 146,561

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Solution

The third proportional to 67,052 and 146,561 is: 320,350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,052 : 146,561 = 146,561 : x
  2. Step 2: Convert to fraction form
    67,052/146,561 = 146,561/x
  3. Step 3: Cross multiply
    67,052x = 146,561 × 146,561
  4. Step 4: Simplify right side
    67,052x = 21,480,126,721
  5. Step 5: Solve for x
    x = 21,480,126,721/67,052
  6. Step 6: Final answer
    x = 320,350.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.