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Finding the Third Proportional to 79,216.10 and 176,142.73

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Solution

The third proportional to 79,216.10 and 176,142.73 is: 391,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,216.10 : 176,142.73 = 176,142.73 : x
  2. Step 2: Convert to fraction form
    79,216.10/176,142.73 = 176,142.73/x
  3. Step 3: Cross multiply
    79,216.10x = 176,142.73 × 176,142.73
  4. Step 4: Simplify right side
    79,216.10x = 31,026,260,120.87
  5. Step 5: Solve for x
    x = 31,026,260,120.87/79,216.10
  6. Step 6: Final answer
    x = 391,666.08

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.