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Finding the Third Proportional to 124,703.14 and 274,317.57

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Solution

The third proportional to 124,703.14 and 274,317.57 is: 603,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,703.14 : 274,317.57 = 274,317.57 : x
  2. Step 2: Convert to fraction form
    124,703.14/274,317.57 = 274,317.57/x
  3. Step 3: Cross multiply
    124,703.14x = 274,317.57 × 274,317.57
  4. Step 4: Simplify right side
    124,703.14x = 75,250,131,525.26
  5. Step 5: Solve for x
    x = 75,250,131,525.26/124,703.14
  6. Step 6: Final answer
    x = 603,434.14

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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.