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Finding the Third Proportional to 51,018 and 111,070

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Solution

The third proportional to 51,018 and 111,070 is: 241,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,018 : 111,070 = 111,070 : x
  2. Step 2: Convert to fraction form
    51,018/111,070 = 111,070/x
  3. Step 3: Cross multiply
    51,018x = 111,070 × 111,070
  4. Step 4: Simplify right side
    51,018x = 12,336,544,900
  5. Step 5: Solve for x
    x = 12,336,544,900/51,018
  6. Step 6: Final answer
    x = 241,807.69

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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.