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Finding the Third Proportional to 66,644 and 135,964

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Solution

The third proportional to 66,644 and 135,964 is: 277,387.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,644 : 135,964 = 135,964 : x
  2. Step 2: Convert to fraction form
    66,644/135,964 = 135,964/x
  3. Step 3: Cross multiply
    66,644x = 135,964 × 135,964
  4. Step 4: Simplify right side
    66,644x = 18,486,209,296
  5. Step 5: Solve for x
    x = 18,486,209,296/66,644
  6. Step 6: Final answer
    x = 277,387.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.