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Finding the Third Proportional to 51,055 and 112,178

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Solution

The third proportional to 51,055 and 112,178 is: 246,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,055 : 112,178 = 112,178 : x
  2. Step 2: Convert to fraction form
    51,055/112,178 = 112,178/x
  3. Step 3: Cross multiply
    51,055x = 112,178 × 112,178
  4. Step 4: Simplify right side
    51,055x = 12,583,903,684
  5. Step 5: Solve for x
    x = 12,583,903,684/51,055
  6. Step 6: Final answer
    x = 246,477.40

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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.