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Finding the Third Proportional to 71,259.75 and 100,257.75

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Solution

The third proportional to 71,259.75 and 100,257.75 is: 141,056.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,259.75 : 100,257.75 = 100,257.75 : x
  2. Step 2: Convert to fraction form
    71,259.75/100,257.75 = 100,257.75/x
  3. Step 3: Cross multiply
    71,259.75x = 100,257.75 × 100,257.75
  4. Step 4: Simplify right side
    71,259.75x = 10,051,616,435.06
  5. Step 5: Solve for x
    x = 10,051,616,435.06/71,259.75
  6. Step 6: Final answer
    x = 141,056.02

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.