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Finding the Third Proportional to 125,919 and 270,468

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Solution

The third proportional to 125,919 and 270,468 is: 580,952.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,919 : 270,468 = 270,468 : x
  2. Step 2: Convert to fraction form
    125,919/270,468 = 270,468/x
  3. Step 3: Cross multiply
    125,919x = 270,468 × 270,468
  4. Step 4: Simplify right side
    125,919x = 73,152,939,024
  5. Step 5: Solve for x
    x = 73,152,939,024/125,919
  6. Step 6: Final answer
    x = 580,952.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.