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Finding the Third Proportional to 56,570 and 120,916

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Solution

The third proportional to 56,570 and 120,916 is: 258,452.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,570 : 120,916 = 120,916 : x
  2. Step 2: Convert to fraction form
    56,570/120,916 = 120,916/x
  3. Step 3: Cross multiply
    56,570x = 120,916 × 120,916
  4. Step 4: Simplify right side
    56,570x = 14,620,679,056
  5. Step 5: Solve for x
    x = 14,620,679,056/56,570
  6. Step 6: Final answer
    x = 258,452.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.