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Finding the Third Proportional to 65,694 and 144,509

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Solution

The third proportional to 65,694 and 144,509 is: 317,880.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,694 : 144,509 = 144,509 : x
  2. Step 2: Convert to fraction form
    65,694/144,509 = 144,509/x
  3. Step 3: Cross multiply
    65,694x = 144,509 × 144,509
  4. Step 4: Simplify right side
    65,694x = 20,882,851,081
  5. Step 5: Solve for x
    x = 20,882,851,081/65,694
  6. Step 6: Final answer
    x = 317,880.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.