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Finding the Third Proportional to 47,356 and 78,916

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Solution

The third proportional to 47,356 and 78,916 is: 131,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,356 : 78,916 = 78,916 : x
  2. Step 2: Convert to fraction form
    47,356/78,916 = 78,916/x
  3. Step 3: Cross multiply
    47,356x = 78,916 × 78,916
  4. Step 4: Simplify right side
    47,356x = 6,227,735,056
  5. Step 5: Solve for x
    x = 6,227,735,056/47,356
  6. Step 6: Final answer
    x = 131,508.89

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.