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Finding the Third Proportional to 66,147 and 96,447

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Solution

The third proportional to 66,147 and 96,447 is: 140,626.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,147 : 96,447 = 96,447 : x
  2. Step 2: Convert to fraction form
    66,147/96,447 = 96,447/x
  3. Step 3: Cross multiply
    66,147x = 96,447 × 96,447
  4. Step 4: Simplify right side
    66,147x = 9,302,023,809
  5. Step 5: Solve for x
    x = 9,302,023,809/66,147
  6. Step 6: Final answer
    x = 140,626.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.