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Finding the Third Proportional to 80,581 and 174,553

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Solution

The third proportional to 80,581 and 174,553 is: 378,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,581 : 174,553 = 174,553 : x
  2. Step 2: Convert to fraction form
    80,581/174,553 = 174,553/x
  3. Step 3: Cross multiply
    80,581x = 174,553 × 174,553
  4. Step 4: Simplify right side
    80,581x = 30,468,749,809
  5. Step 5: Solve for x
    x = 30,468,749,809/80,581
  6. Step 6: Final answer
    x = 378,113.32

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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.