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Finding the Third Proportional to 107,665 and 154,119

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Solution

The third proportional to 107,665 and 154,119 is: 220,616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,665 : 154,119 = 154,119 : x
  2. Step 2: Convert to fraction form
    107,665/154,119 = 154,119/x
  3. Step 3: Cross multiply
    107,665x = 154,119 × 154,119
  4. Step 4: Simplify right side
    107,665x = 23,752,666,161
  5. Step 5: Solve for x
    x = 23,752,666,161/107,665
  6. Step 6: Final answer
    x = 220,616.41

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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.