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Finding the Third Proportional to 90,503 and 119,011

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Solution

The third proportional to 90,503 and 119,011 is: 156,498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,503 : 119,011 = 119,011 : x
  2. Step 2: Convert to fraction form
    90,503/119,011 = 119,011/x
  3. Step 3: Cross multiply
    90,503x = 119,011 × 119,011
  4. Step 4: Simplify right side
    90,503x = 14,163,618,121
  5. Step 5: Solve for x
    x = 14,163,618,121/90,503
  6. Step 6: Final answer
    x = 156,498.88

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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.