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Finding the Third Proportional to 72,350 and 105,698

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Solution

The third proportional to 72,350 and 105,698 is: 154,416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,350 : 105,698 = 105,698 : x
  2. Step 2: Convert to fraction form
    72,350/105,698 = 105,698/x
  3. Step 3: Cross multiply
    72,350x = 105,698 × 105,698
  4. Step 4: Simplify right side
    72,350x = 11,172,067,204
  5. Step 5: Solve for x
    x = 11,172,067,204/72,350
  6. Step 6: Final answer
    x = 154,416.96

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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.