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Finding the Third Proportional to 105,192.75 and 147,961.13

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Solution

The third proportional to 105,192.75 and 147,961.13 is: 208,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,192.75 : 147,961.13 = 147,961.13 : x
  2. Step 2: Convert to fraction form
    105,192.75/147,961.13 = 147,961.13/x
  3. Step 3: Cross multiply
    105,192.75x = 147,961.13 × 147,961.13
  4. Step 4: Simplify right side
    105,192.75x = 21,892,494,511.27
  5. Step 5: Solve for x
    x = 21,892,494,511.27/105,192.75
  6. Step 6: Final answer
    x = 208,117.90

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.