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Finding the Third Proportional to 74,884 and 162,890

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Solution

The third proportional to 74,884 and 162,890 is: 354,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,884 : 162,890 = 162,890 : x
  2. Step 2: Convert to fraction form
    74,884/162,890 = 162,890/x
  3. Step 3: Cross multiply
    74,884x = 162,890 × 162,890
  4. Step 4: Simplify right side
    74,884x = 26,533,152,100
  5. Step 5: Solve for x
    x = 26,533,152,100/74,884
  6. Step 6: Final answer
    x = 354,323.38

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