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Finding the Third Proportional to 105,798.75 and 143,525.81

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Solution

The third proportional to 105,798.75 and 143,525.81 is: 194,706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,798.75 : 143,525.81 = 143,525.81 : x
  2. Step 2: Convert to fraction form
    105,798.75/143,525.81 = 143,525.81/x
  3. Step 3: Cross multiply
    105,798.75x = 143,525.81 × 143,525.81
  4. Step 4: Simplify right side
    105,798.75x = 20,599,658,853.79
  5. Step 5: Solve for x
    x = 20,599,658,853.79/105,798.75
  6. Step 6: Final answer
    x = 194,706.07

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.