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Finding the Third Proportional to 55,058 and 120,808

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Solution

The third proportional to 55,058 and 120,808 is: 265,076.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,058 : 120,808 = 120,808 : x
  2. Step 2: Convert to fraction form
    55,058/120,808 = 120,808/x
  3. Step 3: Cross multiply
    55,058x = 120,808 × 120,808
  4. Step 4: Simplify right side
    55,058x = 14,594,572,864
  5. Step 5: Solve for x
    x = 14,594,572,864/55,058
  6. Step 6: Final answer
    x = 265,076.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.