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Finding the Third Proportional to 74,508 and 162,114

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Solution

The third proportional to 74,508 and 162,114 is: 352,726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,508 : 162,114 = 162,114 : x
  2. Step 2: Convert to fraction form
    74,508/162,114 = 162,114/x
  3. Step 3: Cross multiply
    74,508x = 162,114 × 162,114
  4. Step 4: Simplify right side
    74,508x = 26,280,948,996
  5. Step 5: Solve for x
    x = 26,280,948,996/74,508
  6. Step 6: Final answer
    x = 352,726.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.