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Finding the Third Proportional to 79,186 and 170,752

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Solution

The third proportional to 79,186 and 170,752 is: 368,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,186 : 170,752 = 170,752 : x
  2. Step 2: Convert to fraction form
    79,186/170,752 = 170,752/x
  3. Step 3: Cross multiply
    79,186x = 170,752 × 170,752
  4. Step 4: Simplify right side
    79,186x = 29,156,245,504
  5. Step 5: Solve for x
    x = 29,156,245,504/79,186
  6. Step 6: Final answer
    x = 368,199.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.