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Finding the Third Proportional to 100,628 and 136,176

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Solution

The third proportional to 100,628 and 136,176 is: 184,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,628 : 136,176 = 136,176 : x
  2. Step 2: Convert to fraction form
    100,628/136,176 = 136,176/x
  3. Step 3: Cross multiply
    100,628x = 136,176 × 136,176
  4. Step 4: Simplify right side
    100,628x = 18,543,902,976
  5. Step 5: Solve for x
    x = 18,543,902,976/100,628
  6. Step 6: Final answer
    x = 184,281.74

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.