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Finding the Third Proportional to 100,725.75 and 136,311.75

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Solution

The third proportional to 100,725.75 and 136,311.75 is: 184,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,725.75 : 136,311.75 = 136,311.75 : x
  2. Step 2: Convert to fraction form
    100,725.75/136,311.75 = 136,311.75/x
  3. Step 3: Cross multiply
    100,725.75x = 136,311.75 × 136,311.75
  4. Step 4: Simplify right side
    100,725.75x = 18,580,893,188.06
  5. Step 5: Solve for x
    x = 18,580,893,188.06/100,725.75
  6. Step 6: Final answer
    x = 184,470.14

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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.