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Finding the Third Proportional to 67,323 and 141,610

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Solution

The third proportional to 67,323 and 141,610 is: 297,868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,323 : 141,610 = 141,610 : x
  2. Step 2: Convert to fraction form
    67,323/141,610 = 141,610/x
  3. Step 3: Cross multiply
    67,323x = 141,610 × 141,610
  4. Step 4: Simplify right side
    67,323x = 20,053,392,100
  5. Step 5: Solve for x
    x = 20,053,392,100/67,323
  6. Step 6: Final answer
    x = 297,868.37

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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.