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Finding the Third Proportional to 67,819 and 147,100

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Solution

The third proportional to 67,819 and 147,100 is: 319,061.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,819 : 147,100 = 147,100 : x
  2. Step 2: Convert to fraction form
    67,819/147,100 = 147,100/x
  3. Step 3: Cross multiply
    67,819x = 147,100 × 147,100
  4. Step 4: Simplify right side
    67,819x = 21,638,410,000
  5. Step 5: Solve for x
    x = 21,638,410,000/67,819
  6. Step 6: Final answer
    x = 319,061.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.