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Finding the Third Proportional to 90,505 and 119,014

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Solution

The third proportional to 90,505 and 119,014 is: 156,503.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,505 : 119,014 = 119,014 : x
  2. Step 2: Convert to fraction form
    90,505/119,014 = 119,014/x
  3. Step 3: Cross multiply
    90,505x = 119,014 × 119,014
  4. Step 4: Simplify right side
    90,505x = 14,164,332,196
  5. Step 5: Solve for x
    x = 14,164,332,196/90,505
  6. Step 6: Final answer
    x = 156,503.31

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.