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Finding the Third Proportional to 78,856.88 and 172,980.56

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Solution

The third proportional to 78,856.88 and 172,980.56 is: 379,450.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,856.88 : 172,980.56 = 172,980.56 : x
  2. Step 2: Convert to fraction form
    78,856.88/172,980.56 = 172,980.56/x
  3. Step 3: Cross multiply
    78,856.88x = 172,980.56 × 172,980.56
  4. Step 4: Simplify right side
    78,856.88x = 29,922,275,002.82
  5. Step 5: Solve for x
    x = 29,922,275,002.82/78,856.88
  6. Step 6: Final answer
    x = 379,450.43

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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.