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Finding the Third Proportional to 79,929 and 172,323

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Solution

The third proportional to 79,929 and 172,323 is: 371,519.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,929 : 172,323 = 172,323 : x
  2. Step 2: Convert to fraction form
    79,929/172,323 = 172,323/x
  3. Step 3: Cross multiply
    79,929x = 172,323 × 172,323
  4. Step 4: Simplify right side
    79,929x = 29,695,216,329
  5. Step 5: Solve for x
    x = 29,695,216,329/79,929
  6. Step 6: Final answer
    x = 371,519.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.