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Finding the Third Proportional to 74,018 and 162,800

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Solution

The third proportional to 74,018 and 162,800 is: 358,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,018 : 162,800 = 162,800 : x
  2. Step 2: Convert to fraction form
    74,018/162,800 = 162,800/x
  3. Step 3: Cross multiply
    74,018x = 162,800 × 162,800
  4. Step 4: Simplify right side
    74,018x = 26,503,840,000
  5. Step 5: Solve for x
    x = 26,503,840,000/74,018
  6. Step 6: Final answer
    x = 358,072.90

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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.