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Finding the Third Proportional to 79,308 and 116,771

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Solution

The third proportional to 79,308 and 116,771 is: 171,930.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,308 : 116,771 = 116,771 : x
  2. Step 2: Convert to fraction form
    79,308/116,771 = 116,771/x
  3. Step 3: Cross multiply
    79,308x = 116,771 × 116,771
  4. Step 4: Simplify right side
    79,308x = 13,635,466,441
  5. Step 5: Solve for x
    x = 13,635,466,441/79,308
  6. Step 6: Final answer
    x = 171,930.53

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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.