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Finding the Third Proportional to 45,674 and 92,599

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Solution

The third proportional to 45,674 and 92,599 is: 187,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,674 : 92,599 = 92,599 : x
  2. Step 2: Convert to fraction form
    45,674/92,599 = 92,599/x
  3. Step 3: Cross multiply
    45,674x = 92,599 × 92,599
  4. Step 4: Simplify right side
    45,674x = 8,574,574,801
  5. Step 5: Solve for x
    x = 8,574,574,801/45,674
  6. Step 6: Final answer
    x = 187,734.26

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.