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Finding the Third Proportional to 53.63 and 116.19

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Solution

The third proportional to 53.63 and 116.19 is: 251.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.63 : 116.19 = 116.19 : x
  2. Step 2: Convert to fraction form
    53.63/116.19 = 116.19/x
  3. Step 3: Cross multiply
    53.63x = 116.19 × 116.19
  4. Step 4: Simplify right side
    53.63x = 13,499.54
  5. Step 5: Solve for x
    x = 13,499.54/53.63
  6. Step 6: Final answer
    x = 251.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.