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Finding the Third Proportional to 136,090.50 and 177,890.75

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Solution

The third proportional to 136,090.50 and 177,890.75 is: 232,529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,090.50 : 177,890.75 = 177,890.75 : x
  2. Step 2: Convert to fraction form
    136,090.50/177,890.75 = 177,890.75/x
  3. Step 3: Cross multiply
    136,090.50x = 177,890.75 × 177,890.75
  4. Step 4: Simplify right side
    136,090.50x = 31,645,118,935.56
  5. Step 5: Solve for x
    x = 31,645,118,935.56/136,090.50
  6. Step 6: Final answer
    x = 232,529.96

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.