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Finding the Third Proportional to 105,990 and 148,555

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Solution

The third proportional to 105,990 and 148,555 is: 208,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,990 : 148,555 = 148,555 : x
  2. Step 2: Convert to fraction form
    105,990/148,555 = 148,555/x
  3. Step 3: Cross multiply
    105,990x = 148,555 × 148,555
  4. Step 4: Simplify right side
    105,990x = 22,068,588,025
  5. Step 5: Solve for x
    x = 22,068,588,025/105,990
  6. Step 6: Final answer
    x = 208,213.87

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.