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Finding the Third Proportional to 68,260 and 105,462

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Solution

The third proportional to 68,260 and 105,462 is: 162,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,260 : 105,462 = 105,462 : x
  2. Step 2: Convert to fraction form
    68,260/105,462 = 105,462/x
  3. Step 3: Cross multiply
    68,260x = 105,462 × 105,462
  4. Step 4: Simplify right side
    68,260x = 11,122,233,444
  5. Step 5: Solve for x
    x = 11,122,233,444/68,260
  6. Step 6: Final answer
    x = 162,939.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.