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Finding the Third Proportional to 50,018 and 118,070

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Solution

The third proportional to 50,018 and 118,070 is: 278,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,018 : 118,070 = 118,070 : x
  2. Step 2: Convert to fraction form
    50,018/118,070 = 118,070/x
  3. Step 3: Cross multiply
    50,018x = 118,070 × 118,070
  4. Step 4: Simplify right side
    50,018x = 13,940,524,900
  5. Step 5: Solve for x
    x = 13,940,524,900/50,018
  6. Step 6: Final answer
    x = 278,710.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.