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Finding the Third Proportional to 65,512.55 and 140,366.95

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Solution

The third proportional to 65,512.55 and 140,366.95 is: 300,749.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,512.55 : 140,366.95 = 140,366.95 : x
  2. Step 2: Convert to fraction form
    65,512.55/140,366.95 = 140,366.95/x
  3. Step 3: Cross multiply
    65,512.55x = 140,366.95 × 140,366.95
  4. Step 4: Simplify right side
    65,512.55x = 19,702,881,529.60
  5. Step 5: Solve for x
    x = 19,702,881,529.60/65,512.55
  6. Step 6: Final answer
    x = 300,749.74

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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.