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Finding the Third Proportional to 65,581 and 142,177

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Solution

The third proportional to 65,581 and 142,177 is: 308,234.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,581 : 142,177 = 142,177 : x
  2. Step 2: Convert to fraction form
    65,581/142,177 = 142,177/x
  3. Step 3: Cross multiply
    65,581x = 142,177 × 142,177
  4. Step 4: Simplify right side
    65,581x = 20,214,299,329
  5. Step 5: Solve for x
    x = 20,214,299,329/65,581
  6. Step 6: Final answer
    x = 308,234.08

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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.