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Finding the Third Proportional to 66,933 and 98,556.75

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Solution

The third proportional to 66,933 and 98,556.75 is: 145,121.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,933 : 98,556.75 = 98,556.75 : x
  2. Step 2: Convert to fraction form
    66,933/98,556.75 = 98,556.75/x
  3. Step 3: Cross multiply
    66,933x = 98,556.75 × 98,556.75
  4. Step 4: Simplify right side
    66,933x = 9,713,432,970.56
  5. Step 5: Solve for x
    x = 9,713,432,970.56/66,933
  6. Step 6: Final answer
    x = 145,121.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.