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Finding the Third Proportional to 87,752 and 189,514

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Solution

The third proportional to 87,752 and 189,514 is: 409,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,752 : 189,514 = 189,514 : x
  2. Step 2: Convert to fraction form
    87,752/189,514 = 189,514/x
  3. Step 3: Cross multiply
    87,752x = 189,514 × 189,514
  4. Step 4: Simplify right side
    87,752x = 35,915,556,196
  5. Step 5: Solve for x
    x = 35,915,556,196/87,752
  6. Step 6: Final answer
    x = 409,284.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.