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Finding the Third Proportional to 65,518.50 and 142,161

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Solution

The third proportional to 65,518.50 and 142,161 is: 308,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,518.50 : 142,161 = 142,161 : x
  2. Step 2: Convert to fraction form
    65,518.50/142,161 = 142,161/x
  3. Step 3: Cross multiply
    65,518.50x = 142,161 × 142,161
  4. Step 4: Simplify right side
    65,518.50x = 20,209,749,921
  5. Step 5: Solve for x
    x = 20,209,749,921/65,518.50
  6. Step 6: Final answer
    x = 308,458.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.