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Finding the Third Proportional to 124,643.81 and 274,210.31

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Solution

The third proportional to 124,643.81 and 274,210.31 is: 603,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,643.81 : 274,210.31 = 274,210.31 : x
  2. Step 2: Convert to fraction form
    124,643.81/274,210.31 = 274,210.31/x
  3. Step 3: Cross multiply
    124,643.81x = 274,210.31 × 274,210.31
  4. Step 4: Simplify right side
    124,643.81x = 75,191,295,481.35
  5. Step 5: Solve for x
    x = 75,191,295,481.35/124,643.81
  6. Step 6: Final answer
    x = 603,249.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.