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Finding the Third Proportional to 68,132 and 105,740

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Solution

The third proportional to 68,132 and 105,740 is: 164,107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,132 : 105,740 = 105,740 : x
  2. Step 2: Convert to fraction form
    68,132/105,740 = 105,740/x
  3. Step 3: Cross multiply
    68,132x = 105,740 × 105,740
  4. Step 4: Simplify right side
    68,132x = 11,180,947,600
  5. Step 5: Solve for x
    x = 11,180,947,600/68,132
  6. Step 6: Final answer
    x = 164,107.14

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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.