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Finding the Third Proportional to 124,583.63 and 186,836.81

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Solution

The third proportional to 124,583.63 and 186,836.81 is: 280,197.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,583.63 : 186,836.81 = 186,836.81 : x
  2. Step 2: Convert to fraction form
    124,583.63/186,836.81 = 186,836.81/x
  3. Step 3: Cross multiply
    124,583.63x = 186,836.81 × 186,836.81
  4. Step 4: Simplify right side
    124,583.63x = 34,907,994,505.16
  5. Step 5: Solve for x
    x = 34,907,994,505.16/124,583.63
  6. Step 6: Final answer
    x = 280,197.29

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Why These Related Problems?

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