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Finding the Third Proportional to 67,326 and 141,614

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Solution

The third proportional to 67,326 and 141,614 is: 297,871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,326 : 141,614 = 141,614 : x
  2. Step 2: Convert to fraction form
    67,326/141,614 = 141,614/x
  3. Step 3: Cross multiply
    67,326x = 141,614 × 141,614
  4. Step 4: Simplify right side
    67,326x = 20,054,524,996
  5. Step 5: Solve for x
    x = 20,054,524,996/67,326
  6. Step 6: Final answer
    x = 297,871.92

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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.