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Finding the Third Proportional to 68,218 and 105,241

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Solution

The third proportional to 68,218 and 105,241 is: 162,356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,218 : 105,241 = 105,241 : x
  2. Step 2: Convert to fraction form
    68,218/105,241 = 105,241/x
  3. Step 3: Cross multiply
    68,218x = 105,241 × 105,241
  4. Step 4: Simplify right side
    68,218x = 11,075,668,081
  5. Step 5: Solve for x
    x = 11,075,668,081/68,218
  6. Step 6: Final answer
    x = 162,356.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.