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Finding the Third Proportional to 103,958.50 and 136,506.50

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Solution

The third proportional to 103,958.50 and 136,506.50 is: 179,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,958.50 : 136,506.50 = 136,506.50 : x
  2. Step 2: Convert to fraction form
    103,958.50/136,506.50 = 136,506.50/x
  3. Step 3: Cross multiply
    103,958.50x = 136,506.50 × 136,506.50
  4. Step 4: Simplify right side
    103,958.50x = 18,634,024,542.25
  5. Step 5: Solve for x
    x = 18,634,024,542.25/103,958.50
  6. Step 6: Final answer
    x = 179,244.84

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.