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Finding the Third Proportional to 129,056.06 and 241,446.09

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Solution

The third proportional to 129,056.06 and 241,446.09 is: 451,712.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,056.06 : 241,446.09 = 241,446.09 : x
  2. Step 2: Convert to fraction form
    129,056.06/241,446.09 = 241,446.09/x
  3. Step 3: Cross multiply
    129,056.06x = 241,446.09 × 241,446.09
  4. Step 4: Simplify right side
    129,056.06x = 58,296,216,187.13
  5. Step 5: Solve for x
    x = 58,296,216,187.13/129,056.06
  6. Step 6: Final answer
    x = 451,712.34

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.