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Finding the Third Proportional to 43,705.50 and 92,640

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Solution

The third proportional to 43,705.50 and 92,640 is: 196,363.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,705.50 : 92,640 = 92,640 : x
  2. Step 2: Convert to fraction form
    43,705.50/92,640 = 92,640/x
  3. Step 3: Cross multiply
    43,705.50x = 92,640 × 92,640
  4. Step 4: Simplify right side
    43,705.50x = 8,582,169,600
  5. Step 5: Solve for x
    x = 8,582,169,600/43,705.50
  6. Step 6: Final answer
    x = 196,363.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.