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Finding the Third Proportional to 125,018 and 254,678

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Solution

The third proportional to 125,018 and 254,678 is: 518,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,018 : 254,678 = 254,678 : x
  2. Step 2: Convert to fraction form
    125,018/254,678 = 254,678/x
  3. Step 3: Cross multiply
    125,018x = 254,678 × 254,678
  4. Step 4: Simplify right side
    125,018x = 64,860,883,684
  5. Step 5: Solve for x
    x = 64,860,883,684/125,018
  6. Step 6: Final answer
    x = 518,812.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.