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Finding the Third Proportional to 55,058.01 and 120,228.05

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Solution

The third proportional to 55,058.01 and 120,228.05 is: 262,537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,058.01 : 120,228.05 = 120,228.05 : x
  2. Step 2: Convert to fraction form
    55,058.01/120,228.05 = 120,228.05/x
  3. Step 3: Cross multiply
    55,058.01x = 120,228.05 × 120,228.05
  4. Step 4: Simplify right side
    55,058.01x = 14,454,783,255.38
  5. Step 5: Solve for x
    x = 14,454,783,255.38/55,058.01
  6. Step 6: Final answer
    x = 262,537.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.