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Finding the Third Proportional to 74,092 and 162,236

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Solution

The third proportional to 74,092 and 162,236 is: 355,241.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,092 : 162,236 = 162,236 : x
  2. Step 2: Convert to fraction form
    74,092/162,236 = 162,236/x
  3. Step 3: Cross multiply
    74,092x = 162,236 × 162,236
  4. Step 4: Simplify right side
    74,092x = 26,320,519,696
  5. Step 5: Solve for x
    x = 26,320,519,696/74,092
  6. Step 6: Final answer
    x = 355,241.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.