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Finding the Third Proportional to 121,041 and 256,475

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Solution

The third proportional to 121,041 and 256,475 is: 543,447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,041 : 256,475 = 256,475 : x
  2. Step 2: Convert to fraction form
    121,041/256,475 = 256,475/x
  3. Step 3: Cross multiply
    121,041x = 256,475 × 256,475
  4. Step 4: Simplify right side
    121,041x = 65,779,425,625
  5. Step 5: Solve for x
    x = 65,779,425,625/121,041
  6. Step 6: Final answer
    x = 543,447.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.