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Finding the Third Proportional to 111,043 and 145,789.50

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Solution

The third proportional to 111,043 and 145,789.50 is: 191,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,043 : 145,789.50 = 145,789.50 : x
  2. Step 2: Convert to fraction form
    111,043/145,789.50 = 145,789.50/x
  3. Step 3: Cross multiply
    111,043x = 145,789.50 × 145,789.50
  4. Step 4: Simplify right side
    111,043x = 21,254,578,310.25
  5. Step 5: Solve for x
    x = 21,254,578,310.25/111,043
  6. Step 6: Final answer
    x = 191,408.54

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.