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Finding the Third Proportional to 55,087 and 119,333

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Solution

The third proportional to 55,087 and 119,333 is: 258,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,087 : 119,333 = 119,333 : x
  2. Step 2: Convert to fraction form
    55,087/119,333 = 119,333/x
  3. Step 3: Cross multiply
    55,087x = 119,333 × 119,333
  4. Step 4: Simplify right side
    55,087x = 14,240,364,889
  5. Step 5: Solve for x
    x = 14,240,364,889/55,087
  6. Step 6: Final answer
    x = 258,506.81

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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.