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Finding the Third Proportional to 125,189 and 270,038

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Solution

The third proportional to 125,189 and 270,038 is: 582,483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,189 : 270,038 = 270,038 : x
  2. Step 2: Convert to fraction form
    125,189/270,038 = 270,038/x
  3. Step 3: Cross multiply
    125,189x = 270,038 × 270,038
  4. Step 4: Simplify right side
    125,189x = 72,920,521,444
  5. Step 5: Solve for x
    x = 72,920,521,444/125,189
  6. Step 6: Final answer
    x = 582,483.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.