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Finding the Third Proportional to 78,249 and 168,291

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Solution

The third proportional to 78,249 and 168,291 is: 361,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,249 : 168,291 = 168,291 : x
  2. Step 2: Convert to fraction form
    78,249/168,291 = 168,291/x
  3. Step 3: Cross multiply
    78,249x = 168,291 × 168,291
  4. Step 4: Simplify right side
    78,249x = 28,321,860,681
  5. Step 5: Solve for x
    x = 28,321,860,681/78,249
  6. Step 6: Final answer
    x = 361,945.34

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