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Finding the Third Proportional to 66,953.25 and 140,805

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Solution

The third proportional to 66,953.25 and 140,805 is: 296,117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,953.25 : 140,805 = 140,805 : x
  2. Step 2: Convert to fraction form
    66,953.25/140,805 = 140,805/x
  3. Step 3: Cross multiply
    66,953.25x = 140,805 × 140,805
  4. Step 4: Simplify right side
    66,953.25x = 19,826,048,025
  5. Step 5: Solve for x
    x = 19,826,048,025/66,953.25
  6. Step 6: Final answer
    x = 296,117.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.