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Finding the Third Proportional to 55,126 and 118,980

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Solution

The third proportional to 55,126 and 118,980 is: 256,797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,126 : 118,980 = 118,980 : x
  2. Step 2: Convert to fraction form
    55,126/118,980 = 118,980/x
  3. Step 3: Cross multiply
    55,126x = 118,980 × 118,980
  4. Step 4: Simplify right side
    55,126x = 14,156,240,400
  5. Step 5: Solve for x
    x = 14,156,240,400/55,126
  6. Step 6: Final answer
    x = 256,797.89

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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.