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Finding the Third Proportional to 53.63 and 114.20

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Solution

The third proportional to 53.63 and 114.20 is: 243.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.63 : 114.20 = 114.20 : x
  2. Step 2: Convert to fraction form
    53.63/114.20 = 114.20/x
  3. Step 3: Cross multiply
    53.63x = 114.20 × 114.20
  4. Step 4: Simplify right side
    53.63x = 13,042.30
  5. Step 5: Solve for x
    x = 13,042.30/53.63
  6. Step 6: Final answer
    x = 243.19

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.