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Finding the Third Proportional to 79,295 and 171,655

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Solution

The third proportional to 79,295 and 171,655 is: 371,592.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,295 : 171,655 = 171,655 : x
  2. Step 2: Convert to fraction form
    79,295/171,655 = 171,655/x
  3. Step 3: Cross multiply
    79,295x = 171,655 × 171,655
  4. Step 4: Simplify right side
    79,295x = 29,465,439,025
  5. Step 5: Solve for x
    x = 29,465,439,025/79,295
  6. Step 6: Final answer
    x = 371,592.65

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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.