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Finding the Third Proportional to 75,514 and 119,967

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Solution

The third proportional to 75,514 and 119,967 is: 190,588.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,514 : 119,967 = 119,967 : x
  2. Step 2: Convert to fraction form
    75,514/119,967 = 119,967/x
  3. Step 3: Cross multiply
    75,514x = 119,967 × 119,967
  4. Step 4: Simplify right side
    75,514x = 14,392,081,089
  5. Step 5: Solve for x
    x = 14,392,081,089/75,514
  6. Step 6: Final answer
    x = 190,588.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.