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Finding the Third Proportional to 89,321 and 142,181.50

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Solution

The third proportional to 89,321 and 142,181.50 is: 226,325.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,321 : 142,181.50 = 142,181.50 : x
  2. Step 2: Convert to fraction form
    89,321/142,181.50 = 142,181.50/x
  3. Step 3: Cross multiply
    89,321x = 142,181.50 × 142,181.50
  4. Step 4: Simplify right side
    89,321x = 20,215,578,942.25
  5. Step 5: Solve for x
    x = 20,215,578,942.25/89,321
  6. Step 6: Final answer
    x = 226,325.04

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.