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Finding the Third Proportional to 76,502 and 116,944

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Solution

The third proportional to 76,502 and 116,944 is: 178,765.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,502 : 116,944 = 116,944 : x
  2. Step 2: Convert to fraction form
    76,502/116,944 = 116,944/x
  3. Step 3: Cross multiply
    76,502x = 116,944 × 116,944
  4. Step 4: Simplify right side
    76,502x = 13,675,899,136
  5. Step 5: Solve for x
    x = 13,675,899,136/76,502
  6. Step 6: Final answer
    x = 178,765.25

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.