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Finding the Third Proportional to 75,932 and 166,490

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Solution

The third proportional to 75,932 and 166,490 is: 365,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,932 : 166,490 = 166,490 : x
  2. Step 2: Convert to fraction form
    75,932/166,490 = 166,490/x
  3. Step 3: Cross multiply
    75,932x = 166,490 × 166,490
  4. Step 4: Simplify right side
    75,932x = 27,718,920,100
  5. Step 5: Solve for x
    x = 27,718,920,100/75,932
  6. Step 6: Final answer
    x = 365,049.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.