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Finding the Third Proportional to 78,916 and 169,544

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Solution

The third proportional to 78,916 and 169,544 is: 364,250.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,916 : 169,544 = 169,544 : x
  2. Step 2: Convert to fraction form
    78,916/169,544 = 169,544/x
  3. Step 3: Cross multiply
    78,916x = 169,544 × 169,544
  4. Step 4: Simplify right side
    78,916x = 28,745,167,936
  5. Step 5: Solve for x
    x = 28,745,167,936/78,916
  6. Step 6: Final answer
    x = 364,250.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.