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Finding the Third Proportional to 68,395 and 105,062

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Solution

The third proportional to 68,395 and 105,062 is: 161,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,395 : 105,062 = 105,062 : x
  2. Step 2: Convert to fraction form
    68,395/105,062 = 105,062/x
  3. Step 3: Cross multiply
    68,395x = 105,062 × 105,062
  4. Step 4: Simplify right side
    68,395x = 11,038,023,844
  5. Step 5: Solve for x
    x = 11,038,023,844/68,395
  6. Step 6: Final answer
    x = 161,386.41

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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.