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Finding the Third Proportional to 50,201 and 72,154

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Solution

The third proportional to 50,201 and 72,154 is: 103,707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,201 : 72,154 = 72,154 : x
  2. Step 2: Convert to fraction form
    50,201/72,154 = 72,154/x
  3. Step 3: Cross multiply
    50,201x = 72,154 × 72,154
  4. Step 4: Simplify right side
    50,201x = 5,206,199,716
  5. Step 5: Solve for x
    x = 5,206,199,716/50,201
  6. Step 6: Final answer
    x = 103,707.09

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.