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Finding the Third Proportional to 124,586.81 and 186,841.69

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Solution

The third proportional to 124,586.81 and 186,841.69 is: 280,204.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,586.81 : 186,841.69 = 186,841.69 : x
  2. Step 2: Convert to fraction form
    124,586.81/186,841.69 = 186,841.69/x
  3. Step 3: Cross multiply
    124,586.81x = 186,841.69 × 186,841.69
  4. Step 4: Simplify right side
    124,586.81x = 34,909,816,187.85
  5. Step 5: Solve for x
    x = 34,909,816,187.85/124,586.81
  6. Step 6: Final answer
    x = 280,204.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.