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Finding the Third Proportional to 65,327 and 143,104

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Solution

The third proportional to 65,327 and 143,104 is: 313,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,327 : 143,104 = 143,104 : x
  2. Step 2: Convert to fraction form
    65,327/143,104 = 143,104/x
  3. Step 3: Cross multiply
    65,327x = 143,104 × 143,104
  4. Step 4: Simplify right side
    65,327x = 20,478,754,816
  5. Step 5: Solve for x
    x = 20,478,754,816/65,327
  6. Step 6: Final answer
    x = 313,480.72

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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.