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Finding the Third Proportional to 61.70 and 90.18

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Solution

The third proportional to 61.70 and 90.18 is: 131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.70 : 90.18 = 90.18 : x
  2. Step 2: Convert to fraction form
    61.70/90.18 = 90.18/x
  3. Step 3: Cross multiply
    61.70x = 90.18 × 90.18
  4. Step 4: Simplify right side
    61.70x = 8,131.67
  5. Step 5: Solve for x
    x = 8,131.67/61.70
  6. Step 6: Final answer
    x = 131.80

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.