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Finding the Third Proportional to 66,982 and 104,521

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Solution

The third proportional to 66,982 and 104,521 is: 163,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,982 : 104,521 = 104,521 : x
  2. Step 2: Convert to fraction form
    66,982/104,521 = 104,521/x
  3. Step 3: Cross multiply
    66,982x = 104,521 × 104,521
  4. Step 4: Simplify right side
    66,982x = 10,924,639,441
  5. Step 5: Solve for x
    x = 10,924,639,441/66,982
  6. Step 6: Final answer
    x = 163,098.14

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.