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Finding the Third Proportional to 125,500.50 and 186,090.75

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Solution

The third proportional to 125,500.50 and 186,090.75 is: 275,933.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,500.50 : 186,090.75 = 186,090.75 : x
  2. Step 2: Convert to fraction form
    125,500.50/186,090.75 = 186,090.75/x
  3. Step 3: Cross multiply
    125,500.50x = 186,090.75 × 186,090.75
  4. Step 4: Simplify right side
    125,500.50x = 34,629,767,235.56
  5. Step 5: Solve for x
    x = 34,629,767,235.56/125,500.50
  6. Step 6: Final answer
    x = 275,933.30

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.