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Finding the Third Proportional to 30,618 and 67,250

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Solution

The third proportional to 30,618 and 67,250 is: 147,709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,618 : 67,250 = 67,250 : x
  2. Step 2: Convert to fraction form
    30,618/67,250 = 67,250/x
  3. Step 3: Cross multiply
    30,618x = 67,250 × 67,250
  4. Step 4: Simplify right side
    30,618x = 4,522,562,500
  5. Step 5: Solve for x
    x = 4,522,562,500/30,618
  6. Step 6: Final answer
    x = 147,709.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.