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Finding the Third Proportional to 80,029.13 and 171,468.56

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Solution

The third proportional to 80,029.13 and 171,468.56 is: 367,384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,029.13 : 171,468.56 = 171,468.56 : x
  2. Step 2: Convert to fraction form
    80,029.13/171,468.56 = 171,468.56/x
  3. Step 3: Cross multiply
    80,029.13x = 171,468.56 × 171,468.56
  4. Step 4: Simplify right side
    80,029.13x = 29,401,467,925.82
  5. Step 5: Solve for x
    x = 29,401,467,925.82/80,029.13
  6. Step 6: Final answer
    x = 367,384.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.