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Finding the Third Proportional to 68,226 and 148,228

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Solution

The third proportional to 68,226 and 148,228 is: 322,040.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,226 : 148,228 = 148,228 : x
  2. Step 2: Convert to fraction form
    68,226/148,228 = 148,228/x
  3. Step 3: Cross multiply
    68,226x = 148,228 × 148,228
  4. Step 4: Simplify right side
    68,226x = 21,971,539,984
  5. Step 5: Solve for x
    x = 21,971,539,984/68,226
  6. Step 6: Final answer
    x = 322,040.57

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Why These Related Problems?

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