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Finding the Third Proportional to 67,860 and 147,392

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Solution

The third proportional to 67,860 and 147,392 is: 320,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,860 : 147,392 = 147,392 : x
  2. Step 2: Convert to fraction form
    67,860/147,392 = 147,392/x
  3. Step 3: Cross multiply
    67,860x = 147,392 × 147,392
  4. Step 4: Simplify right side
    67,860x = 21,724,401,664
  5. Step 5: Solve for x
    x = 21,724,401,664/67,860
  6. Step 6: Final answer
    x = 320,135.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.