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Finding the Third Proportional to 66,780 and 136,033

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Solution

The third proportional to 66,780 and 136,033 is: 277,103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,780 : 136,033 = 136,033 : x
  2. Step 2: Convert to fraction form
    66,780/136,033 = 136,033/x
  3. Step 3: Cross multiply
    66,780x = 136,033 × 136,033
  4. Step 4: Simplify right side
    66,780x = 18,504,977,089
  5. Step 5: Solve for x
    x = 18,504,977,089/66,780
  6. Step 6: Final answer
    x = 277,103.58

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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.