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Finding the Third Proportional to 85,382 and 179,752

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Solution

The third proportional to 85,382 and 179,752 is: 378,426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,382 : 179,752 = 179,752 : x
  2. Step 2: Convert to fraction form
    85,382/179,752 = 179,752/x
  3. Step 3: Cross multiply
    85,382x = 179,752 × 179,752
  4. Step 4: Simplify right side
    85,382x = 32,310,781,504
  5. Step 5: Solve for x
    x = 32,310,781,504/85,382
  6. Step 6: Final answer
    x = 378,426.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.