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Finding the Third Proportional to 105,928 and 155,140

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Solution

The third proportional to 105,928 and 155,140 is: 227,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,928 : 155,140 = 155,140 : x
  2. Step 2: Convert to fraction form
    105,928/155,140 = 155,140/x
  3. Step 3: Cross multiply
    105,928x = 155,140 × 155,140
  4. Step 4: Simplify right side
    105,928x = 24,068,419,600
  5. Step 5: Solve for x
    x = 24,068,419,600/105,928
  6. Step 6: Final answer
    x = 227,214.90

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.