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Finding the Third Proportional to 65,647.13 and 143,175.94

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Solution

The third proportional to 65,647.13 and 143,175.94 is: 312,265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,647.13 : 143,175.94 = 143,175.94 : x
  2. Step 2: Convert to fraction form
    65,647.13/143,175.94 = 143,175.94/x
  3. Step 3: Cross multiply
    65,647.13x = 143,175.94 × 143,175.94
  4. Step 4: Simplify right side
    65,647.13x = 20,499,349,079.00
  5. Step 5: Solve for x
    x = 20,499,349,079.00/65,647.13
  6. Step 6: Final answer
    x = 312,265.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.