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Finding the Third Proportional to 43,503 and 65,256

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Solution

The third proportional to 43,503 and 65,256 is: 97,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,503 : 65,256 = 65,256 : x
  2. Step 2: Convert to fraction form
    43,503/65,256 = 65,256/x
  3. Step 3: Cross multiply
    43,503x = 65,256 × 65,256
  4. Step 4: Simplify right side
    43,503x = 4,258,345,536
  5. Step 5: Solve for x
    x = 4,258,345,536/43,503
  6. Step 6: Final answer
    x = 97,886.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.