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Finding the Third Proportional to 65,305.41 and 133,378.31

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Solution

The third proportional to 65,305.41 and 133,378.31 is: 272,408.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,305.41 : 133,378.31 = 133,378.31 : x
  2. Step 2: Convert to fraction form
    65,305.41/133,378.31 = 133,378.31/x
  3. Step 3: Cross multiply
    65,305.41x = 133,378.31 × 133,378.31
  4. Step 4: Simplify right side
    65,305.41x = 17,789,774,245.35
  5. Step 5: Solve for x
    x = 17,789,774,245.35/65,305.41
  6. Step 6: Final answer
    x = 272,408.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.