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Finding the Third Proportional to 67,326 and 141,420

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Solution

The third proportional to 67,326 and 141,420 is: 297,056.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,326 : 141,420 = 141,420 : x
  2. Step 2: Convert to fraction form
    67,326/141,420 = 141,420/x
  3. Step 3: Cross multiply
    67,326x = 141,420 × 141,420
  4. Step 4: Simplify right side
    67,326x = 19,999,616,400
  5. Step 5: Solve for x
    x = 19,999,616,400/67,326
  6. Step 6: Final answer
    x = 297,056.36

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.