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Finding the Third Proportional to 66,556.69 and 146,017.69

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Solution

The third proportional to 66,556.69 and 146,017.69 is: 320,345.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,556.69 : 146,017.69 = 146,017.69 : x
  2. Step 2: Convert to fraction form
    66,556.69/146,017.69 = 146,017.69/x
  3. Step 3: Cross multiply
    66,556.69x = 146,017.69 × 146,017.69
  4. Step 4: Simplify right side
    66,556.69x = 21,321,165,062.85
  5. Step 5: Solve for x
    x = 21,321,165,062.85/66,556.69
  6. Step 6: Final answer
    x = 320,345.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.