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Finding the Third Proportional to 52.31 and 112.59

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Solution

The third proportional to 52.31 and 112.59 is: 242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.31 : 112.59 = 112.59 : x
  2. Step 2: Convert to fraction form
    52.31/112.59 = 112.59/x
  3. Step 3: Cross multiply
    52.31x = 112.59 × 112.59
  4. Step 4: Simplify right side
    52.31x = 12,677.35
  5. Step 5: Solve for x
    x = 12,677.35/52.31
  6. Step 6: Final answer
    x = 242.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.