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Finding the Third Proportional to 65,740 and 143,916

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Solution

The third proportional to 65,740 and 143,916 is: 315,056.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,740 : 143,916 = 143,916 : x
  2. Step 2: Convert to fraction form
    65,740/143,916 = 143,916/x
  3. Step 3: Cross multiply
    65,740x = 143,916 × 143,916
  4. Step 4: Simplify right side
    65,740x = 20,711,815,056
  5. Step 5: Solve for x
    x = 20,711,815,056/65,740
  6. Step 6: Final answer
    x = 315,056.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.