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Finding the Third Proportional to 75,942 and 166,510

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Solution

The third proportional to 75,942 and 166,510 is: 365,088.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,942 : 166,510 = 166,510 : x
  2. Step 2: Convert to fraction form
    75,942/166,510 = 166,510/x
  3. Step 3: Cross multiply
    75,942x = 166,510 × 166,510
  4. Step 4: Simplify right side
    75,942x = 27,725,580,100
  5. Step 5: Solve for x
    x = 27,725,580,100/75,942
  6. Step 6: Final answer
    x = 365,088.88

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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.