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Finding the Third Proportional to 111,147 and 145,984.50

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Solution

The third proportional to 111,147 and 145,984.50 is: 191,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,147 : 145,984.50 = 145,984.50 : x
  2. Step 2: Convert to fraction form
    111,147/145,984.50 = 145,984.50/x
  3. Step 3: Cross multiply
    111,147x = 145,984.50 × 145,984.50
  4. Step 4: Simplify right side
    111,147x = 21,311,474,240.25
  5. Step 5: Solve for x
    x = 21,311,474,240.25/111,147
  6. Step 6: Final answer
    x = 191,741.34

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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.