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Finding the Third Proportional to 61.46 and 85.51

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Solution

The third proportional to 61.46 and 85.51 is: 118.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.46 : 85.51 = 85.51 : x
  2. Step 2: Convert to fraction form
    61.46/85.51 = 85.51/x
  3. Step 3: Cross multiply
    61.46x = 85.51 × 85.51
  4. Step 4: Simplify right side
    61.46x = 7,312.25
  5. Step 5: Solve for x
    x = 7,312.25/61.46
  6. Step 6: Final answer
    x = 118.97

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.