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Finding the Third Proportional to 46,008 and 107,514

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Solution

The third proportional to 46,008 and 107,514 is: 251,244.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,008 : 107,514 = 107,514 : x
  2. Step 2: Convert to fraction form
    46,008/107,514 = 107,514/x
  3. Step 3: Cross multiply
    46,008x = 107,514 × 107,514
  4. Step 4: Simplify right side
    46,008x = 11,559,260,196
  5. Step 5: Solve for x
    x = 11,559,260,196/46,008
  6. Step 6: Final answer
    x = 251,244.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.