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Finding the Third Proportional to 66,775 and 136,023.50

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Solution

The third proportional to 66,775 and 136,023.50 is: 277,085.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,775 : 136,023.50 = 136,023.50 : x
  2. Step 2: Convert to fraction form
    66,775/136,023.50 = 136,023.50/x
  3. Step 3: Cross multiply
    66,775x = 136,023.50 × 136,023.50
  4. Step 4: Simplify right side
    66,775x = 18,502,392,552.25
  5. Step 5: Solve for x
    x = 18,502,392,552.25/66,775
  6. Step 6: Final answer
    x = 277,085.62

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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.