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Finding the Third Proportional to 125,259.75 and 262,827.75

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Solution

The third proportional to 125,259.75 and 262,827.75 is: 551,481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,259.75 : 262,827.75 = 262,827.75 : x
  2. Step 2: Convert to fraction form
    125,259.75/262,827.75 = 262,827.75/x
  3. Step 3: Cross multiply
    125,259.75x = 262,827.75 × 262,827.75
  4. Step 4: Simplify right side
    125,259.75x = 69,078,426,170.06
  5. Step 5: Solve for x
    x = 69,078,426,170.06/125,259.75
  6. Step 6: Final answer
    x = 551,481.43

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.