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Finding the Third Proportional to 55,066 and 120,246

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Solution

The third proportional to 55,066 and 120,246 is: 262,577.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,066 : 120,246 = 120,246 : x
  2. Step 2: Convert to fraction form
    55,066/120,246 = 120,246/x
  3. Step 3: Cross multiply
    55,066x = 120,246 × 120,246
  4. Step 4: Simplify right side
    55,066x = 14,459,100,516
  5. Step 5: Solve for x
    x = 14,459,100,516/55,066
  6. Step 6: Final answer
    x = 262,577.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.