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Finding the Third Proportional to 51,818 and 80,018

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Solution

The third proportional to 51,818 and 80,018 is: 123,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,818 : 80,018 = 80,018 : x
  2. Step 2: Convert to fraction form
    51,818/80,018 = 80,018/x
  3. Step 3: Cross multiply
    51,818x = 80,018 × 80,018
  4. Step 4: Simplify right side
    51,818x = 6,402,880,324
  5. Step 5: Solve for x
    x = 6,402,880,324/51,818
  6. Step 6: Final answer
    x = 123,564.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.