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Finding the Third Proportional to 66,922 and 148,606

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Solution

The third proportional to 66,922 and 148,606 is: 329,992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,922 : 148,606 = 148,606 : x
  2. Step 2: Convert to fraction form
    66,922/148,606 = 148,606/x
  3. Step 3: Cross multiply
    66,922x = 148,606 × 148,606
  4. Step 4: Simplify right side
    66,922x = 22,083,743,236
  5. Step 5: Solve for x
    x = 22,083,743,236/66,922
  6. Step 6: Final answer
    x = 329,992.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.