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Finding the Third Proportional to 32,158 and 48,203

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Solution

The third proportional to 32,158 and 48,203 is: 72,253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,158 : 48,203 = 48,203 : x
  2. Step 2: Convert to fraction form
    32,158/48,203 = 48,203/x
  3. Step 3: Cross multiply
    32,158x = 48,203 × 48,203
  4. Step 4: Simplify right side
    32,158x = 2,323,529,209
  5. Step 5: Solve for x
    x = 2,323,529,209/32,158
  6. Step 6: Final answer
    x = 72,253.54

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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.