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Finding the Third Proportional to 66,197 and 92,599

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Solution

The third proportional to 66,197 and 92,599 is: 129,531.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,197 : 92,599 = 92,599 : x
  2. Step 2: Convert to fraction form
    66,197/92,599 = 92,599/x
  3. Step 3: Cross multiply
    66,197x = 92,599 × 92,599
  4. Step 4: Simplify right side
    66,197x = 8,574,574,801
  5. Step 5: Solve for x
    x = 8,574,574,801/66,197
  6. Step 6: Final answer
    x = 129,531.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.