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Finding the Third Proportional to 68,120 and 148,500

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Solution

The third proportional to 68,120 and 148,500 is: 323,726.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,120 : 148,500 = 148,500 : x
  2. Step 2: Convert to fraction form
    68,120/148,500 = 148,500/x
  3. Step 3: Cross multiply
    68,120x = 148,500 × 148,500
  4. Step 4: Simplify right side
    68,120x = 22,052,250,000
  5. Step 5: Solve for x
    x = 22,052,250,000/68,120
  6. Step 6: Final answer
    x = 323,726.51

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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.