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Finding the Third Proportional to 51,257 and 110,178

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Solution

The third proportional to 51,257 and 110,178 is: 236,829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,257 : 110,178 = 110,178 : x
  2. Step 2: Convert to fraction form
    51,257/110,178 = 110,178/x
  3. Step 3: Cross multiply
    51,257x = 110,178 × 110,178
  4. Step 4: Simplify right side
    51,257x = 12,139,191,684
  5. Step 5: Solve for x
    x = 12,139,191,684/51,257
  6. Step 6: Final answer
    x = 236,829.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.