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Finding the Third Proportional to 78,054.56 and 167,949.56

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Solution

The third proportional to 78,054.56 and 167,949.56 is: 361,376.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,054.56 : 167,949.56 = 167,949.56 : x
  2. Step 2: Convert to fraction form
    78,054.56/167,949.56 = 167,949.56/x
  3. Step 3: Cross multiply
    78,054.56x = 167,949.56 × 167,949.56
  4. Step 4: Simplify right side
    78,054.56x = 28,207,055,543.94
  5. Step 5: Solve for x
    x = 28,207,055,543.94/78,054.56
  6. Step 6: Final answer
    x = 361,376.13

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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.