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Finding the Third Proportional to 52,619.63 and 80,242.31

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Solution

The third proportional to 52,619.63 and 80,242.31 is: 122,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,619.63 : 80,242.31 = 80,242.31 : x
  2. Step 2: Convert to fraction form
    52,619.63/80,242.31 = 80,242.31/x
  3. Step 3: Cross multiply
    52,619.63x = 80,242.31 × 80,242.31
  4. Step 4: Simplify right side
    52,619.63x = 6,438,828,715.35
  5. Step 5: Solve for x
    x = 6,438,828,715.35/52,619.63
  6. Step 6: Final answer
    x = 122,365.54

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.