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Finding the Third Proportional to 51,740 and 110,264

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Solution

The third proportional to 51,740 and 110,264 is: 234,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,740 : 110,264 = 110,264 : x
  2. Step 2: Convert to fraction form
    51,740/110,264 = 110,264/x
  3. Step 3: Cross multiply
    51,740x = 110,264 × 110,264
  4. Step 4: Simplify right side
    51,740x = 12,158,149,696
  5. Step 5: Solve for x
    x = 12,158,149,696/51,740
  6. Step 6: Final answer
    x = 234,985.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.