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Finding the Third Proportional to 78,624 and 172,692

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Solution

The third proportional to 78,624 and 172,692 is: 379,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,624 : 172,692 = 172,692 : x
  2. Step 2: Convert to fraction form
    78,624/172,692 = 172,692/x
  3. Step 3: Cross multiply
    78,624x = 172,692 × 172,692
  4. Step 4: Simplify right side
    78,624x = 29,822,526,864
  5. Step 5: Solve for x
    x = 29,822,526,864/78,624
  6. Step 6: Final answer
    x = 379,305.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.