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Finding the Third Proportional to 68,000 and 148,186

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Solution

The third proportional to 68,000 and 148,186 is: 322,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,000 : 148,186 = 148,186 : x
  2. Step 2: Convert to fraction form
    68,000/148,186 = 148,186/x
  3. Step 3: Cross multiply
    68,000x = 148,186 × 148,186
  4. Step 4: Simplify right side
    68,000x = 21,959,090,596
  5. Step 5: Solve for x
    x = 21,959,090,596/68,000
  6. Step 6: Final answer
    x = 322,927.80

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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.