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Finding the Third Proportional to 115,124.25 and 244,140

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Solution

The third proportional to 115,124.25 and 244,140 is: 517,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,124.25 : 244,140 = 244,140 : x
  2. Step 2: Convert to fraction form
    115,124.25/244,140 = 244,140/x
  3. Step 3: Cross multiply
    115,124.25x = 244,140 × 244,140
  4. Step 4: Simplify right side
    115,124.25x = 59,604,339,600
  5. Step 5: Solve for x
    x = 59,604,339,600/115,124.25
  6. Step 6: Final answer
    x = 517,739.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.