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Finding the Third Proportional to 55,758 and 122,585

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Solution

The third proportional to 55,758 and 122,585 is: 269,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,758 : 122,585 = 122,585 : x
  2. Step 2: Convert to fraction form
    55,758/122,585 = 122,585/x
  3. Step 3: Cross multiply
    55,758x = 122,585 × 122,585
  4. Step 4: Simplify right side
    55,758x = 15,027,082,225
  5. Step 5: Solve for x
    x = 15,027,082,225/55,758
  6. Step 6: Final answer
    x = 269,505.40

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.