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Finding the Third Proportional to 74,033 and 162,823

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Solution

The third proportional to 74,033 and 162,823 is: 358,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,033 : 162,823 = 162,823 : x
  2. Step 2: Convert to fraction form
    74,033/162,823 = 162,823/x
  3. Step 3: Cross multiply
    74,033x = 162,823 × 162,823
  4. Step 4: Simplify right side
    74,033x = 26,511,329,329
  5. Step 5: Solve for x
    x = 26,511,329,329/74,033
  6. Step 6: Final answer
    x = 358,101.51

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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.