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Finding the Third Proportional to 87,581 and 192,658

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Solution

The third proportional to 87,581 and 192,658 is: 423,803.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,581 : 192,658 = 192,658 : x
  2. Step 2: Convert to fraction form
    87,581/192,658 = 192,658/x
  3. Step 3: Cross multiply
    87,581x = 192,658 × 192,658
  4. Step 4: Simplify right side
    87,581x = 37,117,104,964
  5. Step 5: Solve for x
    x = 37,117,104,964/87,581
  6. Step 6: Final answer
    x = 423,803.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.