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Finding the Third Proportional to 105,964.50 and 160,027.50

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Solution

The third proportional to 105,964.50 and 160,027.50 is: 241,673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,964.50 : 160,027.50 = 160,027.50 : x
  2. Step 2: Convert to fraction form
    105,964.50/160,027.50 = 160,027.50/x
  3. Step 3: Cross multiply
    105,964.50x = 160,027.50 × 160,027.50
  4. Step 4: Simplify right side
    105,964.50x = 25,608,800,756.25
  5. Step 5: Solve for x
    x = 25,608,800,756.25/105,964.50
  6. Step 6: Final answer
    x = 241,673.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.