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Finding the Third Proportional to 113,902 and 250,123

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Solution

The third proportional to 113,902 and 250,123 is: 549,257.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,902 : 250,123 = 250,123 : x
  2. Step 2: Convert to fraction form
    113,902/250,123 = 250,123/x
  3. Step 3: Cross multiply
    113,902x = 250,123 × 250,123
  4. Step 4: Simplify right side
    113,902x = 62,561,515,129
  5. Step 5: Solve for x
    x = 62,561,515,129/113,902
  6. Step 6: Final answer
    x = 549,257.39

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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.