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Finding the Third Proportional to 68,604 and 149,235

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Solution

The third proportional to 68,604 and 149,235 is: 324,632.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,604 : 149,235 = 149,235 : x
  2. Step 2: Convert to fraction form
    68,604/149,235 = 149,235/x
  3. Step 3: Cross multiply
    68,604x = 149,235 × 149,235
  4. Step 4: Simplify right side
    68,604x = 22,271,085,225
  5. Step 5: Solve for x
    x = 22,271,085,225/68,604
  6. Step 6: Final answer
    x = 324,632.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.