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Finding the Third Proportional to 65,704 and 143,800.50

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Solution

The third proportional to 65,704 and 143,800.50 is: 314,723.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,704 : 143,800.50 = 143,800.50 : x
  2. Step 2: Convert to fraction form
    65,704/143,800.50 = 143,800.50/x
  3. Step 3: Cross multiply
    65,704x = 143,800.50 × 143,800.50
  4. Step 4: Simplify right side
    65,704x = 20,678,583,800.25
  5. Step 5: Solve for x
    x = 20,678,583,800.25/65,704
  6. Step 6: Final answer
    x = 314,723.36

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.