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Finding the Third Proportional to 66,608 and 101,893

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Solution

The third proportional to 66,608 and 101,893 is: 155,869.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,608 : 101,893 = 101,893 : x
  2. Step 2: Convert to fraction form
    66,608/101,893 = 101,893/x
  3. Step 3: Cross multiply
    66,608x = 101,893 × 101,893
  4. Step 4: Simplify right side
    66,608x = 10,382,183,449
  5. Step 5: Solve for x
    x = 10,382,183,449/66,608
  6. Step 6: Final answer
    x = 155,869.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.