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Finding the Third Proportional to 71,946 and 108,922

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Solution

The third proportional to 71,946 and 108,922 is: 164,901.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,946 : 108,922 = 108,922 : x
  2. Step 2: Convert to fraction form
    71,946/108,922 = 108,922/x
  3. Step 3: Cross multiply
    71,946x = 108,922 × 108,922
  4. Step 4: Simplify right side
    71,946x = 11,864,002,084
  5. Step 5: Solve for x
    x = 11,864,002,084/71,946
  6. Step 6: Final answer
    x = 164,901.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.