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Finding the Third Proportional to 125,037 and 254,718

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Solution

The third proportional to 125,037 and 254,718 is: 518,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,037 : 254,718 = 254,718 : x
  2. Step 2: Convert to fraction form
    125,037/254,718 = 254,718/x
  3. Step 3: Cross multiply
    125,037x = 254,718 × 254,718
  4. Step 4: Simplify right side
    125,037x = 64,881,259,524
  5. Step 5: Solve for x
    x = 64,881,259,524/125,037
  6. Step 6: Final answer
    x = 518,896.48

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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.