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Finding the Third Proportional to 65,452.50 and 142,569

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Solution

The third proportional to 65,452.50 and 142,569 is: 310,544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,452.50 : 142,569 = 142,569 : x
  2. Step 2: Convert to fraction form
    65,452.50/142,569 = 142,569/x
  3. Step 3: Cross multiply
    65,452.50x = 142,569 × 142,569
  4. Step 4: Simplify right side
    65,452.50x = 20,325,919,761
  5. Step 5: Solve for x
    x = 20,325,919,761/65,452.50
  6. Step 6: Final answer
    x = 310,544.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.