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Finding the Third Proportional to 43,721.86 and 94,132.13

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Solution

The third proportional to 43,721.86 and 94,132.13 is: 202,664.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,721.86 : 94,132.13 = 94,132.13 : x
  2. Step 2: Convert to fraction form
    43,721.86/94,132.13 = 94,132.13/x
  3. Step 3: Cross multiply
    43,721.86x = 94,132.13 × 94,132.13
  4. Step 4: Simplify right side
    43,721.86x = 8,860,856,957.02
  5. Step 5: Solve for x
    x = 8,860,856,957.02/43,721.86
  6. Step 6: Final answer
    x = 202,664.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.