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Finding the Third Proportional to 100,608.75 and 136,150.88

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Solution

The third proportional to 100,608.75 and 136,150.88 is: 184,248.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,608.75 : 136,150.88 = 136,150.88 : x
  2. Step 2: Convert to fraction form
    100,608.75/136,150.88 = 136,150.88/x
  3. Step 3: Cross multiply
    100,608.75x = 136,150.88 × 136,150.88
  4. Step 4: Simplify right side
    100,608.75x = 18,537,060,763.27
  5. Step 5: Solve for x
    x = 18,537,060,763.27/100,608.75
  6. Step 6: Final answer
    x = 184,248.99

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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.