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Finding the Third Proportional to 66,764 and 144,940

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Solution

The third proportional to 66,764 and 144,940 is: 314,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,764 : 144,940 = 144,940 : x
  2. Step 2: Convert to fraction form
    66,764/144,940 = 144,940/x
  3. Step 3: Cross multiply
    66,764x = 144,940 × 144,940
  4. Step 4: Simplify right side
    66,764x = 21,007,603,600
  5. Step 5: Solve for x
    x = 21,007,603,600/66,764
  6. Step 6: Final answer
    x = 314,654.66

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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.