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Finding the Third Proportional to 100,732.99 and 136,886.84

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Solution

The third proportional to 100,732.99 and 136,886.84 is: 186,016.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,732.99 : 136,886.84 = 136,886.84 : x
  2. Step 2: Convert to fraction form
    100,732.99/136,886.84 = 136,886.84/x
  3. Step 3: Cross multiply
    100,732.99x = 136,886.84 × 136,886.84
  4. Step 4: Simplify right side
    100,732.99x = 18,738,005,852.98
  5. Step 5: Solve for x
    x = 18,738,005,852.98/100,732.99
  6. Step 6: Final answer
    x = 186,016.57

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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.