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Finding the Third Proportional to 76,338 and 112,225

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Solution

The third proportional to 76,338 and 112,225 is: 164,982.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,338 : 112,225 = 112,225 : x
  2. Step 2: Convert to fraction form
    76,338/112,225 = 112,225/x
  3. Step 3: Cross multiply
    76,338x = 112,225 × 112,225
  4. Step 4: Simplify right side
    76,338x = 12,594,450,625
  5. Step 5: Solve for x
    x = 12,594,450,625/76,338
  6. Step 6: Final answer
    x = 164,982.72

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.