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Finding the Third Proportional to 65,743.88 and 140,600.25

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Solution

The third proportional to 65,743.88 and 140,600.25 is: 300,688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,743.88 : 140,600.25 = 140,600.25 : x
  2. Step 2: Convert to fraction form
    65,743.88/140,600.25 = 140,600.25/x
  3. Step 3: Cross multiply
    65,743.88x = 140,600.25 × 140,600.25
  4. Step 4: Simplify right side
    65,743.88x = 19,768,430,300.06
  5. Step 5: Solve for x
    x = 19,768,430,300.06/65,743.88
  6. Step 6: Final answer
    x = 300,688.55

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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.