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Finding the Third Proportional to 78,191 and 168,781

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Solution

The third proportional to 78,191 and 168,781 is: 364,326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,191 : 168,781 = 168,781 : x
  2. Step 2: Convert to fraction form
    78,191/168,781 = 168,781/x
  3. Step 3: Cross multiply
    78,191x = 168,781 × 168,781
  4. Step 4: Simplify right side
    78,191x = 28,487,025,961
  5. Step 5: Solve for x
    x = 28,487,025,961/78,191
  6. Step 6: Final answer
    x = 364,326.15

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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.