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Finding the Third Proportional to 65,594.25 and 140,523.75

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Solution

The third proportional to 65,594.25 and 140,523.75 is: 301,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,594.25 : 140,523.75 = 140,523.75 : x
  2. Step 2: Convert to fraction form
    65,594.25/140,523.75 = 140,523.75/x
  3. Step 3: Cross multiply
    65,594.25x = 140,523.75 × 140,523.75
  4. Step 4: Simplify right side
    65,594.25x = 19,746,924,314.06
  5. Step 5: Solve for x
    x = 19,746,924,314.06/65,594.25
  6. Step 6: Final answer
    x = 301,046.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.