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Finding the Third Proportional to 65,735.30 and 143,772.47

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Solution

The third proportional to 65,735.30 and 143,772.47 is: 314,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,735.30 : 143,772.47 = 143,772.47 : x
  2. Step 2: Convert to fraction form
    65,735.30/143,772.47 = 143,772.47/x
  3. Step 3: Cross multiply
    65,735.30x = 143,772.47 × 143,772.47
  4. Step 4: Simplify right side
    65,735.30x = 20,670,522,770.47
  5. Step 5: Solve for x
    x = 20,670,522,770.47/65,735.30
  6. Step 6: Final answer
    x = 314,450.89

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Why These Related Problems?

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