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Finding the Third Proportional to 67,291 and 141,554

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Solution

The third proportional to 67,291 and 141,554 is: 297,774.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,291 : 141,554 = 141,554 : x
  2. Step 2: Convert to fraction form
    67,291/141,554 = 141,554/x
  3. Step 3: Cross multiply
    67,291x = 141,554 × 141,554
  4. Step 4: Simplify right side
    67,291x = 20,037,534,916
  5. Step 5: Solve for x
    x = 20,037,534,916/67,291
  6. Step 6: Final answer
    x = 297,774.37

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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.