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Finding the Third Proportional to 76,559 and 162,514

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Solution

The third proportional to 76,559 and 162,514 is: 344,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,559 : 162,514 = 162,514 : x
  2. Step 2: Convert to fraction form
    76,559/162,514 = 162,514/x
  3. Step 3: Cross multiply
    76,559x = 162,514 × 162,514
  4. Step 4: Simplify right side
    76,559x = 26,410,800,196
  5. Step 5: Solve for x
    x = 26,410,800,196/76,559
  6. Step 6: Final answer
    x = 344,973.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.