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Finding the Third Proportional to 74,635 and 162,251

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Solution

The third proportional to 74,635 and 162,251 is: 352,721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,635 : 162,251 = 162,251 : x
  2. Step 2: Convert to fraction form
    74,635/162,251 = 162,251/x
  3. Step 3: Cross multiply
    74,635x = 162,251 × 162,251
  4. Step 4: Simplify right side
    74,635x = 26,325,387,001
  5. Step 5: Solve for x
    x = 26,325,387,001/74,635
  6. Step 6: Final answer
    x = 352,721.74

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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.