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Finding the Third Proportional to 104,034 and 154,107

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Solution

The third proportional to 104,034 and 154,107 is: 228,280.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,034 : 154,107 = 154,107 : x
  2. Step 2: Convert to fraction form
    104,034/154,107 = 154,107/x
  3. Step 3: Cross multiply
    104,034x = 154,107 × 154,107
  4. Step 4: Simplify right side
    104,034x = 23,748,967,449
  5. Step 5: Solve for x
    x = 23,748,967,449/104,034
  6. Step 6: Final answer
    x = 228,280.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.