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Finding the Third Proportional to 103,947 and 162,004.50

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Solution

The third proportional to 103,947 and 162,004.50 is: 252,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,947 : 162,004.50 = 162,004.50 : x
  2. Step 2: Convert to fraction form
    103,947/162,004.50 = 162,004.50/x
  3. Step 3: Cross multiply
    103,947x = 162,004.50 × 162,004.50
  4. Step 4: Simplify right side
    103,947x = 26,245,458,020.25
  5. Step 5: Solve for x
    x = 26,245,458,020.25/103,947
  6. Step 6: Final answer
    x = 252,488.85

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.