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Finding the Third Proportional to 65,319.75 and 143,089.88

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Solution

The third proportional to 65,319.75 and 143,089.88 is: 313,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,319.75 : 143,089.88 = 143,089.88 : x
  2. Step 2: Convert to fraction form
    65,319.75/143,089.88 = 143,089.88/x
  3. Step 3: Cross multiply
    65,319.75x = 143,089.88 × 143,089.88
  4. Step 4: Simplify right side
    65,319.75x = 20,474,712,327.52
  5. Step 5: Solve for x
    x = 20,474,712,327.52/65,319.75
  6. Step 6: Final answer
    x = 313,453.62

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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.