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Finding the Third Proportional to 67,830 and 147,333

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Solution

The third proportional to 67,830 and 147,333 is: 320,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,830 : 147,333 = 147,333 : x
  2. Step 2: Convert to fraction form
    67,830/147,333 = 147,333/x
  3. Step 3: Cross multiply
    67,830x = 147,333 × 147,333
  4. Step 4: Simplify right side
    67,830x = 21,707,012,889
  5. Step 5: Solve for x
    x = 21,707,012,889/67,830
  6. Step 6: Final answer
    x = 320,020.83

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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.