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Finding the Third Proportional to 55,505 and 119,875

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Solution

The third proportional to 55,505 and 119,875 is: 258,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,505 : 119,875 = 119,875 : x
  2. Step 2: Convert to fraction form
    55,505/119,875 = 119,875/x
  3. Step 3: Cross multiply
    55,505x = 119,875 × 119,875
  4. Step 4: Simplify right side
    55,505x = 14,370,015,625
  5. Step 5: Solve for x
    x = 14,370,015,625/55,505
  6. Step 6: Final answer
    x = 258,895.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.