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Finding the Third Proportional to 56,726 and 120,625

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Solution

The third proportional to 56,726 and 120,625 is: 256,503.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,726 : 120,625 = 120,625 : x
  2. Step 2: Convert to fraction form
    56,726/120,625 = 120,625/x
  3. Step 3: Cross multiply
    56,726x = 120,625 × 120,625
  4. Step 4: Simplify right side
    56,726x = 14,550,390,625
  5. Step 5: Solve for x
    x = 14,550,390,625/56,726
  6. Step 6: Final answer
    x = 256,503.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.