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Finding the Third Proportional to 65,851.75 and 142,233.75

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Solution

The third proportional to 65,851.75 and 142,233.75 is: 307,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,851.75 : 142,233.75 = 142,233.75 : x
  2. Step 2: Convert to fraction form
    65,851.75/142,233.75 = 142,233.75/x
  3. Step 3: Cross multiply
    65,851.75x = 142,233.75 × 142,233.75
  4. Step 4: Simplify right side
    65,851.75x = 20,230,439,639.06
  5. Step 5: Solve for x
    x = 20,230,439,639.06/65,851.75
  6. Step 6: Final answer
    x = 307,211.88

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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.