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Finding the Third Proportional to 65,165.50 and 90,944

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Solution

The third proportional to 65,165.50 and 90,944 is: 126,920.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,165.50 : 90,944 = 90,944 : x
  2. Step 2: Convert to fraction form
    65,165.50/90,944 = 90,944/x
  3. Step 3: Cross multiply
    65,165.50x = 90,944 × 90,944
  4. Step 4: Simplify right side
    65,165.50x = 8,270,811,136
  5. Step 5: Solve for x
    x = 8,270,811,136/65,165.50
  6. Step 6: Final answer
    x = 126,920.09

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.