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Finding the Third Proportional to 78,764.06 and 172,837.13

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Solution

The third proportional to 78,764.06 and 172,837.13 is: 379,267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,764.06 : 172,837.13 = 172,837.13 : x
  2. Step 2: Convert to fraction form
    78,764.06/172,837.13 = 172,837.13/x
  3. Step 3: Cross multiply
    78,764.06x = 172,837.13 × 172,837.13
  4. Step 4: Simplify right side
    78,764.06x = 29,872,671,778.27
  5. Step 5: Solve for x
    x = 29,872,671,778.27/78,764.06
  6. Step 6: Final answer
    x = 379,267.79

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