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Finding the Third Proportional to 53,820 and 116,176

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Solution

The third proportional to 53,820 and 116,176 is: 250,777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,820 : 116,176 = 116,176 : x
  2. Step 2: Convert to fraction form
    53,820/116,176 = 116,176/x
  3. Step 3: Cross multiply
    53,820x = 116,176 × 116,176
  4. Step 4: Simplify right side
    53,820x = 13,496,862,976
  5. Step 5: Solve for x
    x = 13,496,862,976/53,820
  6. Step 6: Final answer
    x = 250,777.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.