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Finding the Third Proportional to 68,235 and 148,125

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Solution

The third proportional to 68,235 and 148,125 is: 321,550.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,235 : 148,125 = 148,125 : x
  2. Step 2: Convert to fraction form
    68,235/148,125 = 148,125/x
  3. Step 3: Cross multiply
    68,235x = 148,125 × 148,125
  4. Step 4: Simplify right side
    68,235x = 21,941,015,625
  5. Step 5: Solve for x
    x = 21,941,015,625/68,235
  6. Step 6: Final answer
    x = 321,550.75

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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.