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Finding the Third Proportional to 56,485.50 and 120,477

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Solution

The third proportional to 56,485.50 and 120,477 is: 256,963.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,485.50 : 120,477 = 120,477 : x
  2. Step 2: Convert to fraction form
    56,485.50/120,477 = 120,477/x
  3. Step 3: Cross multiply
    56,485.50x = 120,477 × 120,477
  4. Step 4: Simplify right side
    56,485.50x = 14,514,707,529
  5. Step 5: Solve for x
    x = 14,514,707,529/56,485.50
  6. Step 6: Final answer
    x = 256,963.42

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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.