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Finding the Third Proportional to 70,105 and 152,041

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Solution

The third proportional to 70,105 and 152,041 is: 329,740.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,105 : 152,041 = 152,041 : x
  2. Step 2: Convert to fraction form
    70,105/152,041 = 152,041/x
  3. Step 3: Cross multiply
    70,105x = 152,041 × 152,041
  4. Step 4: Simplify right side
    70,105x = 23,116,465,681
  5. Step 5: Solve for x
    x = 23,116,465,681/70,105
  6. Step 6: Final answer
    x = 329,740.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.