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Finding the Third Proportional to 58,514 and 119,797

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Solution

The third proportional to 58,514 and 119,797 is: 245,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,514 : 119,797 = 119,797 : x
  2. Step 2: Convert to fraction form
    58,514/119,797 = 119,797/x
  3. Step 3: Cross multiply
    58,514x = 119,797 × 119,797
  4. Step 4: Simplify right side
    58,514x = 14,351,321,209
  5. Step 5: Solve for x
    x = 14,351,321,209/58,514
  6. Step 6: Final answer
    x = 245,263.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.