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Finding the Third Proportional to 55,302 and 119,967

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Solution

The third proportional to 55,302 and 119,967 is: 260,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,302 : 119,967 = 119,967 : x
  2. Step 2: Convert to fraction form
    55,302/119,967 = 119,967/x
  3. Step 3: Cross multiply
    55,302x = 119,967 × 119,967
  4. Step 4: Simplify right side
    55,302x = 14,392,081,089
  5. Step 5: Solve for x
    x = 14,392,081,089/55,302
  6. Step 6: Final answer
    x = 260,245.22

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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.