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Finding the Third Proportional to 136,189.50 and 210,027.75

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Solution

The third proportional to 136,189.50 and 210,027.75 is: 323,899.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,189.50 : 210,027.75 = 210,027.75 : x
  2. Step 2: Convert to fraction form
    136,189.50/210,027.75 = 210,027.75/x
  3. Step 3: Cross multiply
    136,189.50x = 210,027.75 × 210,027.75
  4. Step 4: Simplify right side
    136,189.50x = 44,111,655,770.06
  5. Step 5: Solve for x
    x = 44,111,655,770.06/136,189.50
  6. Step 6: Final answer
    x = 323,899.09

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.