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Finding the Third Proportional to 66,914 and 145,494

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Solution

The third proportional to 66,914 and 145,494 is: 316,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,914 : 145,494 = 145,494 : x
  2. Step 2: Convert to fraction form
    66,914/145,494 = 145,494/x
  3. Step 3: Cross multiply
    66,914x = 145,494 × 145,494
  4. Step 4: Simplify right side
    66,914x = 21,168,504,036
  5. Step 5: Solve for x
    x = 21,168,504,036/66,914
  6. Step 6: Final answer
    x = 316,353.89

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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.