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Finding the Third Proportional to 65,751.75 and 143,803.69

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Solution

The third proportional to 65,751.75 and 143,803.69 is: 314,508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,751.75 : 143,803.69 = 143,803.69 : x
  2. Step 2: Convert to fraction form
    65,751.75/143,803.69 = 143,803.69/x
  3. Step 3: Cross multiply
    65,751.75x = 143,803.69 × 143,803.69
  4. Step 4: Simplify right side
    65,751.75x = 20,679,500,538.60
  5. Step 5: Solve for x
    x = 20,679,500,538.60/65,751.75
  6. Step 6: Final answer
    x = 314,508.75

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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.