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Finding the Third Proportional to 79,289 and 166,362

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Solution

The third proportional to 79,289 and 166,362 is: 349,056.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,289 : 166,362 = 166,362 : x
  2. Step 2: Convert to fraction form
    79,289/166,362 = 166,362/x
  3. Step 3: Cross multiply
    79,289x = 166,362 × 166,362
  4. Step 4: Simplify right side
    79,289x = 27,676,315,044
  5. Step 5: Solve for x
    x = 27,676,315,044/79,289
  6. Step 6: Final answer
    x = 349,056.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.