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Finding the Third Proportional to 90,630 and 133,300

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Solution

The third proportional to 90,630 and 133,300 is: 196,059.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,630 : 133,300 = 133,300 : x
  2. Step 2: Convert to fraction form
    90,630/133,300 = 133,300/x
  3. Step 3: Cross multiply
    90,630x = 133,300 × 133,300
  4. Step 4: Simplify right side
    90,630x = 17,768,890,000
  5. Step 5: Solve for x
    x = 17,768,890,000/90,630
  6. Step 6: Final answer
    x = 196,059.69

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.