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Finding the Third Proportional to 114,124 and 251,030

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Solution

The third proportional to 114,124 and 251,030 is: 552,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,124 : 251,030 = 251,030 : x
  2. Step 2: Convert to fraction form
    114,124/251,030 = 251,030/x
  3. Step 3: Cross multiply
    114,124x = 251,030 × 251,030
  4. Step 4: Simplify right side
    114,124x = 63,016,060,900
  5. Step 5: Solve for x
    x = 63,016,060,900/114,124
  6. Step 6: Final answer
    x = 552,171.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.