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Finding the Third Proportional to 90,498 and 119,010

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Solution

The third proportional to 90,498 and 119,010 is: 156,504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,498 : 119,010 = 119,010 : x
  2. Step 2: Convert to fraction form
    90,498/119,010 = 119,010/x
  3. Step 3: Cross multiply
    90,498x = 119,010 × 119,010
  4. Step 4: Simplify right side
    90,498x = 14,163,380,100
  5. Step 5: Solve for x
    x = 14,163,380,100/90,498
  6. Step 6: Final answer
    x = 156,504.90

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.