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Finding the Third Proportional to 79,802 and 171,365

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Solution

The third proportional to 79,802 and 171,365 is: 367,985.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,802 : 171,365 = 171,365 : x
  2. Step 2: Convert to fraction form
    79,802/171,365 = 171,365/x
  3. Step 3: Cross multiply
    79,802x = 171,365 × 171,365
  4. Step 4: Simplify right side
    79,802x = 29,365,963,225
  5. Step 5: Solve for x
    x = 29,365,963,225/79,802
  6. Step 6: Final answer
    x = 367,985.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.