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Finding the Third Proportional to 65,618.54 and 141,591.16

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Solution

The third proportional to 65,618.54 and 141,591.16 is: 305,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,618.54 : 141,591.16 = 141,591.16 : x
  2. Step 2: Convert to fraction form
    65,618.54/141,591.16 = 141,591.16/x
  3. Step 3: Cross multiply
    65,618.54x = 141,591.16 × 141,591.16
  4. Step 4: Simplify right side
    65,618.54x = 20,048,057,740.57
  5. Step 5: Solve for x
    x = 20,048,057,740.57/65,618.54
  6. Step 6: Final answer
    x = 305,524.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.