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Finding the Third Proportional to 67,230 and 141,340

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Solution

The third proportional to 67,230 and 141,340 is: 297,144.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,230 : 141,340 = 141,340 : x
  2. Step 2: Convert to fraction form
    67,230/141,340 = 141,340/x
  3. Step 3: Cross multiply
    67,230x = 141,340 × 141,340
  4. Step 4: Simplify right side
    67,230x = 19,976,995,600
  5. Step 5: Solve for x
    x = 19,976,995,600/67,230
  6. Step 6: Final answer
    x = 297,144.07

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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.