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Finding the Third Proportional to 125,010 and 254,662

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Solution

The third proportional to 125,010 and 254,662 is: 518,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,010 : 254,662 = 254,662 : x
  2. Step 2: Convert to fraction form
    125,010/254,662 = 254,662/x
  3. Step 3: Cross multiply
    125,010x = 254,662 × 254,662
  4. Step 4: Simplify right side
    125,010x = 64,852,734,244
  5. Step 5: Solve for x
    x = 64,852,734,244/125,010
  6. Step 6: Final answer
    x = 518,780.37

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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.