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Finding the Third Proportional to 74,034 and 162,834

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Solution

The third proportional to 74,034 and 162,834 is: 358,145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,034 : 162,834 = 162,834 : x
  2. Step 2: Convert to fraction form
    74,034/162,834 = 162,834/x
  3. Step 3: Cross multiply
    74,034x = 162,834 × 162,834
  4. Step 4: Simplify right side
    74,034x = 26,514,911,556
  5. Step 5: Solve for x
    x = 26,514,911,556/74,034
  6. Step 6: Final answer
    x = 358,145.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.