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Finding the Third Proportional to 74,096 and 162,246

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Solution

The third proportional to 74,096 and 162,246 is: 355,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,096 : 162,246 = 162,246 : x
  2. Step 2: Convert to fraction form
    74,096/162,246 = 162,246/x
  3. Step 3: Cross multiply
    74,096x = 162,246 × 162,246
  4. Step 4: Simplify right side
    74,096x = 26,323,764,516
  5. Step 5: Solve for x
    x = 26,323,764,516/74,096
  6. Step 6: Final answer
    x = 355,265.66

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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.