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Finding the Third Proportional to 111,904 and 150,070

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Solution

The third proportional to 111,904 and 150,070 is: 201,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,904 : 150,070 = 150,070 : x
  2. Step 2: Convert to fraction form
    111,904/150,070 = 150,070/x
  3. Step 3: Cross multiply
    111,904x = 150,070 × 150,070
  4. Step 4: Simplify right side
    111,904x = 22,521,004,900
  5. Step 5: Solve for x
    x = 22,521,004,900/111,904
  6. Step 6: Final answer
    x = 201,252.90

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.