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Finding the Third Proportional to 76,088 and 111,936

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Solution

The third proportional to 76,088 and 111,936 is: 164,673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,088 : 111,936 = 111,936 : x
  2. Step 2: Convert to fraction form
    76,088/111,936 = 111,936/x
  3. Step 3: Cross multiply
    76,088x = 111,936 × 111,936
  4. Step 4: Simplify right side
    76,088x = 12,529,668,096
  5. Step 5: Solve for x
    x = 12,529,668,096/76,088
  6. Step 6: Final answer
    x = 164,673.38

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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.