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Finding the Third Proportional to 65,509 and 98,589

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Solution

The third proportional to 65,509 and 98,589 is: 148,373.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,509 : 98,589 = 98,589 : x
  2. Step 2: Convert to fraction form
    65,509/98,589 = 98,589/x
  3. Step 3: Cross multiply
    65,509x = 98,589 × 98,589
  4. Step 4: Simplify right side
    65,509x = 9,719,790,921
  5. Step 5: Solve for x
    x = 9,719,790,921/65,509
  6. Step 6: Final answer
    x = 148,373.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.