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Finding the Third Proportional to 78,873.31 and 171,054.56

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Solution

The third proportional to 78,873.31 and 171,054.56 is: 370,970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,873.31 : 171,054.56 = 171,054.56 : x
  2. Step 2: Convert to fraction form
    78,873.31/171,054.56 = 171,054.56/x
  3. Step 3: Cross multiply
    78,873.31x = 171,054.56 × 171,054.56
  4. Step 4: Simplify right side
    78,873.31x = 29,259,663,352.07
  5. Step 5: Solve for x
    x = 29,259,663,352.07/78,873.31
  6. Step 6: Final answer
    x = 370,970.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.