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Finding the Third Proportional to 74,096 and 160,037

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Solution

The third proportional to 74,096 and 160,037 is: 345,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,096 : 160,037 = 160,037 : x
  2. Step 2: Convert to fraction form
    74,096/160,037 = 160,037/x
  3. Step 3: Cross multiply
    74,096x = 160,037 × 160,037
  4. Step 4: Simplify right side
    74,096x = 25,611,841,369
  5. Step 5: Solve for x
    x = 25,611,841,369/74,096
  6. Step 6: Final answer
    x = 345,657.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.