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Finding the Third Proportional to 75,586 and 164,492

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Solution

The third proportional to 75,586 and 164,492 is: 357,971.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,586 : 164,492 = 164,492 : x
  2. Step 2: Convert to fraction form
    75,586/164,492 = 164,492/x
  3. Step 3: Cross multiply
    75,586x = 164,492 × 164,492
  4. Step 4: Simplify right side
    75,586x = 27,057,618,064
  5. Step 5: Solve for x
    x = 27,057,618,064/75,586
  6. Step 6: Final answer
    x = 357,971.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.