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Finding the Third Proportional to 125,064 and 258,452

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Solution

The third proportional to 125,064 and 258,452 is: 534,106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,064 : 258,452 = 258,452 : x
  2. Step 2: Convert to fraction form
    125,064/258,452 = 258,452/x
  3. Step 3: Cross multiply
    125,064x = 258,452 × 258,452
  4. Step 4: Simplify right side
    125,064x = 66,797,436,304
  5. Step 5: Solve for x
    x = 66,797,436,304/125,064
  6. Step 6: Final answer
    x = 534,106.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.