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Finding the Third Proportional to 41,653 and 93,761

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Solution

The third proportional to 41,653 and 93,761 is: 211,056.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,653 : 93,761 = 93,761 : x
  2. Step 2: Convert to fraction form
    41,653/93,761 = 93,761/x
  3. Step 3: Cross multiply
    41,653x = 93,761 × 93,761
  4. Step 4: Simplify right side
    41,653x = 8,791,125,121
  5. Step 5: Solve for x
    x = 8,791,125,121/41,653
  6. Step 6: Final answer
    x = 211,056.23

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.