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Finding the Third Proportional to 66,447 and 95,944.50

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Solution

The third proportional to 66,447 and 95,944.50 is: 138,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,447 : 95,944.50 = 95,944.50 : x
  2. Step 2: Convert to fraction form
    66,447/95,944.50 = 95,944.50/x
  3. Step 3: Cross multiply
    66,447x = 95,944.50 × 95,944.50
  4. Step 4: Simplify right side
    66,447x = 9,205,347,080.25
  5. Step 5: Solve for x
    x = 9,205,347,080.25/66,447
  6. Step 6: Final answer
    x = 138,536.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.