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Finding the Third Proportional to 86,967 and 137,452.50

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Solution

The third proportional to 86,967 and 137,452.50 is: 217,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,967 : 137,452.50 = 137,452.50 : x
  2. Step 2: Convert to fraction form
    86,967/137,452.50 = 137,452.50/x
  3. Step 3: Cross multiply
    86,967x = 137,452.50 × 137,452.50
  4. Step 4: Simplify right side
    86,967x = 18,893,189,756.25
  5. Step 5: Solve for x
    x = 18,893,189,756.25/86,967
  6. Step 6: Final answer
    x = 217,245.50

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.