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Finding the Third Proportional to 105,069 and 150,119

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Solution

The third proportional to 105,069 and 150,119 is: 214,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,069 : 150,119 = 150,119 : x
  2. Step 2: Convert to fraction form
    105,069/150,119 = 150,119/x
  3. Step 3: Cross multiply
    105,069x = 150,119 × 150,119
  4. Step 4: Simplify right side
    105,069x = 22,535,714,161
  5. Step 5: Solve for x
    x = 22,535,714,161/105,069
  6. Step 6: Final answer
    x = 214,484.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.