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Finding the Third Proportional to 79,596 and 172,344

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Solution

The third proportional to 79,596 and 172,344 is: 373,165.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,596 : 172,344 = 172,344 : x
  2. Step 2: Convert to fraction form
    79,596/172,344 = 172,344/x
  3. Step 3: Cross multiply
    79,596x = 172,344 × 172,344
  4. Step 4: Simplify right side
    79,596x = 29,702,454,336
  5. Step 5: Solve for x
    x = 29,702,454,336/79,596
  6. Step 6: Final answer
    x = 373,165.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.