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Finding the Third Proportional to 59,838 and 92,916

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Solution

The third proportional to 59,838 and 92,916 is: 144,279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,838 : 92,916 = 92,916 : x
  2. Step 2: Convert to fraction form
    59,838/92,916 = 92,916/x
  3. Step 3: Cross multiply
    59,838x = 92,916 × 92,916
  4. Step 4: Simplify right side
    59,838x = 8,633,383,056
  5. Step 5: Solve for x
    x = 8,633,383,056/59,838
  6. Step 6: Final answer
    x = 144,279.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.