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Finding the Third Proportional to 77,266 and 162,834

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Solution

The third proportional to 77,266 and 162,834 is: 343,164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,266 : 162,834 = 162,834 : x
  2. Step 2: Convert to fraction form
    77,266/162,834 = 162,834/x
  3. Step 3: Cross multiply
    77,266x = 162,834 × 162,834
  4. Step 4: Simplify right side
    77,266x = 26,514,911,556
  5. Step 5: Solve for x
    x = 26,514,911,556/77,266
  6. Step 6: Final answer
    x = 343,164.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.