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Finding the Third Proportional to 53,012.92 and 115,552.20

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Solution

The third proportional to 53,012.92 and 115,552.20 is: 251,868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,012.92 : 115,552.20 = 115,552.20 : x
  2. Step 2: Convert to fraction form
    53,012.92/115,552.20 = 115,552.20/x
  3. Step 3: Cross multiply
    53,012.92x = 115,552.20 × 115,552.20
  4. Step 4: Simplify right side
    53,012.92x = 13,352,309,841.54
  5. Step 5: Solve for x
    x = 13,352,309,841.54/53,012.92
  6. Step 6: Final answer
    x = 251,868.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.