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Finding the Third Proportional to 56,789 and 119,463

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Solution

The third proportional to 56,789 and 119,463 is: 251,305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,789 : 119,463 = 119,463 : x
  2. Step 2: Convert to fraction form
    56,789/119,463 = 119,463/x
  3. Step 3: Cross multiply
    56,789x = 119,463 × 119,463
  4. Step 4: Simplify right side
    56,789x = 14,271,408,369
  5. Step 5: Solve for x
    x = 14,271,408,369/56,789
  6. Step 6: Final answer
    x = 251,305.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.