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Finding the Third Proportional to 57,096 and 90,930

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Solution

The third proportional to 57,096 and 90,930 is: 144,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,096 : 90,930 = 90,930 : x
  2. Step 2: Convert to fraction form
    57,096/90,930 = 90,930/x
  3. Step 3: Cross multiply
    57,096x = 90,930 × 90,930
  4. Step 4: Simplify right side
    57,096x = 8,268,264,900
  5. Step 5: Solve for x
    x = 8,268,264,900/57,096
  6. Step 6: Final answer
    x = 144,813.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.