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Finding the Third Proportional to 76,514 and 165,733

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Solution

The third proportional to 76,514 and 165,733 is: 358,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,514 : 165,733 = 165,733 : x
  2. Step 2: Convert to fraction form
    76,514/165,733 = 165,733/x
  3. Step 3: Cross multiply
    76,514x = 165,733 × 165,733
  4. Step 4: Simplify right side
    76,514x = 27,467,427,289
  5. Step 5: Solve for x
    x = 27,467,427,289/76,514
  6. Step 6: Final answer
    x = 358,985.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.