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Finding the Third Proportional to 72,336 and 105,675

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Solution

The third proportional to 72,336 and 105,675 is: 154,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,336 : 105,675 = 105,675 : x
  2. Step 2: Convert to fraction form
    72,336/105,675 = 105,675/x
  3. Step 3: Cross multiply
    72,336x = 105,675 × 105,675
  4. Step 4: Simplify right side
    72,336x = 11,167,205,625
  5. Step 5: Solve for x
    x = 11,167,205,625/72,336
  6. Step 6: Final answer
    x = 154,379.64

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.