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Finding the Third Proportional to 124,704 and 187,200

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Solution

The third proportional to 124,704 and 187,200 is: 281,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,704 : 187,200 = 187,200 : x
  2. Step 2: Convert to fraction form
    124,704/187,200 = 187,200/x
  3. Step 3: Cross multiply
    124,704x = 187,200 × 187,200
  4. Step 4: Simplify right side
    124,704x = 35,043,840,000
  5. Step 5: Solve for x
    x = 35,043,840,000/124,704
  6. Step 6: Final answer
    x = 281,016.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.