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Finding the Third Proportional to 66,514.50 and 100,462

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Solution

The third proportional to 66,514.50 and 100,462 is: 151,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,514.50 : 100,462 = 100,462 : x
  2. Step 2: Convert to fraction form
    66,514.50/100,462 = 100,462/x
  3. Step 3: Cross multiply
    66,514.50x = 100,462 × 100,462
  4. Step 4: Simplify right side
    66,514.50x = 10,092,613,444
  5. Step 5: Solve for x
    x = 10,092,613,444/66,514.50
  6. Step 6: Final answer
    x = 151,735.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.