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Finding the Third Proportional to 43,129.50 and 91,443

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Solution

The third proportional to 43,129.50 and 91,443 is: 193,877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,129.50 : 91,443 = 91,443 : x
  2. Step 2: Convert to fraction form
    43,129.50/91,443 = 91,443/x
  3. Step 3: Cross multiply
    43,129.50x = 91,443 × 91,443
  4. Step 4: Simplify right side
    43,129.50x = 8,361,822,249
  5. Step 5: Solve for x
    x = 8,361,822,249/43,129.50
  6. Step 6: Final answer
    x = 193,877.10

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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.