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Finding the Third Proportional to 65,596 and 144,975

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Solution

The third proportional to 65,596 and 144,975 is: 320,412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,596 : 144,975 = 144,975 : x
  2. Step 2: Convert to fraction form
    65,596/144,975 = 144,975/x
  3. Step 3: Cross multiply
    65,596x = 144,975 × 144,975
  4. Step 4: Simplify right side
    65,596x = 21,017,750,625
  5. Step 5: Solve for x
    x = 21,017,750,625/65,596
  6. Step 6: Final answer
    x = 320,412.08

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.