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Finding the Third Proportional to 56,058 and 123,168

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Solution

The third proportional to 56,058 and 123,168 is: 270,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,058 : 123,168 = 123,168 : x
  2. Step 2: Convert to fraction form
    56,058/123,168 = 123,168/x
  3. Step 3: Cross multiply
    56,058x = 123,168 × 123,168
  4. Step 4: Simplify right side
    56,058x = 15,170,356,224
  5. Step 5: Solve for x
    x = 15,170,356,224/56,058
  6. Step 6: Final answer
    x = 270,618.93

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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.