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Finding the Third Proportional to 78,652 and 172,068

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Solution

The third proportional to 78,652 and 172,068 is: 376,435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,652 : 172,068 = 172,068 : x
  2. Step 2: Convert to fraction form
    78,652/172,068 = 172,068/x
  3. Step 3: Cross multiply
    78,652x = 172,068 × 172,068
  4. Step 4: Simplify right side
    78,652x = 29,607,396,624
  5. Step 5: Solve for x
    x = 29,607,396,624/78,652
  6. Step 6: Final answer
    x = 376,435.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.