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Finding the Third Proportional to 67,904 and 105,740

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Solution

The third proportional to 67,904 and 105,740 is: 164,658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,904 : 105,740 = 105,740 : x
  2. Step 2: Convert to fraction form
    67,904/105,740 = 105,740/x
  3. Step 3: Cross multiply
    67,904x = 105,740 × 105,740
  4. Step 4: Simplify right side
    67,904x = 11,180,947,600
  5. Step 5: Solve for x
    x = 11,180,947,600/67,904
  6. Step 6: Final answer
    x = 164,658.16

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.