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Finding the Third Proportional to 66,933 and 145,530

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Solution

The third proportional to 66,933 and 145,530 is: 316,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,933 : 145,530 = 145,530 : x
  2. Step 2: Convert to fraction form
    66,933/145,530 = 145,530/x
  3. Step 3: Cross multiply
    66,933x = 145,530 × 145,530
  4. Step 4: Simplify right side
    66,933x = 21,178,980,900
  5. Step 5: Solve for x
    x = 21,178,980,900/66,933
  6. Step 6: Final answer
    x = 316,420.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.