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Finding the Third Proportional to 78,349 and 169,166

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Solution

The third proportional to 78,349 and 169,166 is: 365,252.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,349 : 169,166 = 169,166 : x
  2. Step 2: Convert to fraction form
    78,349/169,166 = 169,166/x
  3. Step 3: Cross multiply
    78,349x = 169,166 × 169,166
  4. Step 4: Simplify right side
    78,349x = 28,617,135,556
  5. Step 5: Solve for x
    x = 28,617,135,556/78,349
  6. Step 6: Final answer
    x = 365,252.08

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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.