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Finding the Third Proportional to 53,024.91 and 114,352.31

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Solution

The third proportional to 53,024.91 and 114,352.31 is: 246,609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,024.91 : 114,352.31 = 114,352.31 : x
  2. Step 2: Convert to fraction form
    53,024.91/114,352.31 = 114,352.31/x
  3. Step 3: Cross multiply
    53,024.91x = 114,352.31 × 114,352.31
  4. Step 4: Simplify right side
    53,024.91x = 13,076,451,374.10
  5. Step 5: Solve for x
    x = 13,076,451,374.10/53,024.91
  6. Step 6: Final answer
    x = 246,609.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.