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Finding the Third Proportional to 56,408 and 120,590

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Solution

The third proportional to 56,408 and 120,590 is: 257,799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,408 : 120,590 = 120,590 : x
  2. Step 2: Convert to fraction form
    56,408/120,590 = 120,590/x
  3. Step 3: Cross multiply
    56,408x = 120,590 × 120,590
  4. Step 4: Simplify right side
    56,408x = 14,541,948,100
  5. Step 5: Solve for x
    x = 14,541,948,100/56,408
  6. Step 6: Final answer
    x = 257,799.39

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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.