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Finding the Third Proportional to 55,201 and 120,003

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Solution

The third proportional to 55,201 and 120,003 is: 260,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,201 : 120,003 = 120,003 : x
  2. Step 2: Convert to fraction form
    55,201/120,003 = 120,003/x
  3. Step 3: Cross multiply
    55,201x = 120,003 × 120,003
  4. Step 4: Simplify right side
    55,201x = 14,400,720,009
  5. Step 5: Solve for x
    x = 14,400,720,009/55,201
  6. Step 6: Final answer
    x = 260,877.88

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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.