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Finding the Third Proportional to 103,094 and 150,948

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Solution

The third proportional to 103,094 and 150,948 is: 221,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,094 : 150,948 = 150,948 : x
  2. Step 2: Convert to fraction form
    103,094/150,948 = 150,948/x
  3. Step 3: Cross multiply
    103,094x = 150,948 × 150,948
  4. Step 4: Simplify right side
    103,094x = 22,785,298,704
  5. Step 5: Solve for x
    x = 22,785,298,704/103,094
  6. Step 6: Final answer
    x = 221,014.79

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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.