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Finding the Third Proportional to 103,947 and 156,861.50

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Solution

The third proportional to 103,947 and 156,861.50 is: 236,712.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,947 : 156,861.50 = 156,861.50 : x
  2. Step 2: Convert to fraction form
    103,947/156,861.50 = 156,861.50/x
  3. Step 3: Cross multiply
    103,947x = 156,861.50 × 156,861.50
  4. Step 4: Simplify right side
    103,947x = 24,605,530,182.25
  5. Step 5: Solve for x
    x = 24,605,530,182.25/103,947
  6. Step 6: Final answer
    x = 236,712.27

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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.