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Finding the Third Proportional to 89,967 and 134,968.50

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Solution

The third proportional to 89,967 and 134,968.50 is: 202,479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,967 : 134,968.50 = 134,968.50 : x
  2. Step 2: Convert to fraction form
    89,967/134,968.50 = 134,968.50/x
  3. Step 3: Cross multiply
    89,967x = 134,968.50 × 134,968.50
  4. Step 4: Simplify right side
    89,967x = 18,216,495,992.25
  5. Step 5: Solve for x
    x = 18,216,495,992.25/89,967
  6. Step 6: Final answer
    x = 202,479.75

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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.