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Finding the Third Proportional to 54,308 and 79,514

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Solution

The third proportional to 54,308 and 79,514 is: 116,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,308 : 79,514 = 79,514 : x
  2. Step 2: Convert to fraction form
    54,308/79,514 = 79,514/x
  3. Step 3: Cross multiply
    54,308x = 79,514 × 79,514
  4. Step 4: Simplify right side
    54,308x = 6,322,476,196
  5. Step 5: Solve for x
    x = 6,322,476,196/54,308
  6. Step 6: Final answer
    x = 116,418.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.