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Finding the Third Proportional to 61,834.50 and 83,997

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Solution

The third proportional to 61,834.50 and 83,997 is: 114,102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,834.50 : 83,997 = 83,997 : x
  2. Step 2: Convert to fraction form
    61,834.50/83,997 = 83,997/x
  3. Step 3: Cross multiply
    61,834.50x = 83,997 × 83,997
  4. Step 4: Simplify right side
    61,834.50x = 7,055,496,009
  5. Step 5: Solve for x
    x = 7,055,496,009/61,834.50
  6. Step 6: Final answer
    x = 114,102.90

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.