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Finding the Third Proportional to 79,024.50 and 172,827

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Solution

The third proportional to 79,024.50 and 172,827 is: 377,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,024.50 : 172,827 = 172,827 : x
  2. Step 2: Convert to fraction form
    79,024.50/172,827 = 172,827/x
  3. Step 3: Cross multiply
    79,024.50x = 172,827 × 172,827
  4. Step 4: Simplify right side
    79,024.50x = 29,869,171,929
  5. Step 5: Solve for x
    x = 29,869,171,929/79,024.50
  6. Step 6: Final answer
    x = 377,973.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.