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Finding the Third Proportional to 65,701.13 and 89,105.06

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Solution

The third proportional to 65,701.13 and 89,105.06 is: 120,845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,701.13 : 89,105.06 = 89,105.06 : x
  2. Step 2: Convert to fraction form
    65,701.13/89,105.06 = 89,105.06/x
  3. Step 3: Cross multiply
    65,701.13x = 89,105.06 × 89,105.06
  4. Step 4: Simplify right side
    65,701.13x = 7,939,712,163.13
  5. Step 5: Solve for x
    x = 7,939,712,163.13/65,701.13
  6. Step 6: Final answer
    x = 120,845.91

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.