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Finding the Third Proportional to 42,123 and 90,774

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Solution

The third proportional to 42,123 and 90,774 is: 195,615.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,123 : 90,774 = 90,774 : x
  2. Step 2: Convert to fraction form
    42,123/90,774 = 90,774/x
  3. Step 3: Cross multiply
    42,123x = 90,774 × 90,774
  4. Step 4: Simplify right side
    42,123x = 8,239,919,076
  5. Step 5: Solve for x
    x = 8,239,919,076/42,123
  6. Step 6: Final answer
    x = 195,615.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.