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Finding the Third Proportional to 53,608.50 and 78,621.56

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Solution

The third proportional to 53,608.50 and 78,621.56 is: 115,305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,608.50 : 78,621.56 = 78,621.56 : x
  2. Step 2: Convert to fraction form
    53,608.50/78,621.56 = 78,621.56/x
  3. Step 3: Cross multiply
    53,608.50x = 78,621.56 × 78,621.56
  4. Step 4: Simplify right side
    53,608.50x = 6,181,350,089.94
  5. Step 5: Solve for x
    x = 6,181,350,089.94/53,608.50
  6. Step 6: Final answer
    x = 115,305.41

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.