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Finding the Third Proportional to 43.63 and 102.53

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Solution

The third proportional to 43.63 and 102.53 is: 240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.63 : 102.53 = 102.53 : x
  2. Step 2: Convert to fraction form
    43.63/102.53 = 102.53/x
  3. Step 3: Cross multiply
    43.63x = 102.53 × 102.53
  4. Step 4: Simplify right side
    43.63x = 10,512.66
  5. Step 5: Solve for x
    x = 10,512.66/43.63
  6. Step 6: Final answer
    x = 240.98

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Why These Related Problems?

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