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Finding the Third Proportional to 45,581 and 95,769

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Solution

The third proportional to 45,581 and 95,769 is: 201,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,581 : 95,769 = 95,769 : x
  2. Step 2: Convert to fraction form
    45,581/95,769 = 95,769/x
  3. Step 3: Cross multiply
    45,581x = 95,769 × 95,769
  4. Step 4: Simplify right side
    45,581x = 9,171,701,361
  5. Step 5: Solve for x
    x = 9,171,701,361/45,581
  6. Step 6: Final answer
    x = 201,217.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.