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Finding the Third Proportional to 60,452.22 and 142,192.69

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Solution

The third proportional to 60,452.22 and 142,192.69 is: 334,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,452.22 : 142,192.69 = 142,192.69 : x
  2. Step 2: Convert to fraction form
    60,452.22/142,192.69 = 142,192.69/x
  3. Step 3: Cross multiply
    60,452.22x = 142,192.69 × 142,192.69
  4. Step 4: Simplify right side
    60,452.22x = 20,218,760,378.47
  5. Step 5: Solve for x
    x = 20,218,760,378.47/60,452.22
  6. Step 6: Final answer
    x = 334,458.53

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.