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Finding the Third Proportional to 43,503.50 and 94,997

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Solution

The third proportional to 43,503.50 and 94,997 is: 207,441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,503.50 : 94,997 = 94,997 : x
  2. Step 2: Convert to fraction form
    43,503.50/94,997 = 94,997/x
  3. Step 3: Cross multiply
    43,503.50x = 94,997 × 94,997
  4. Step 4: Simplify right side
    43,503.50x = 9,024,430,009
  5. Step 5: Solve for x
    x = 9,024,430,009/43,503.50
  6. Step 6: Final answer
    x = 207,441.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.