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Finding the Third Proportional to 56,050 and 119,516

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Solution

The third proportional to 56,050 and 119,516 is: 254,845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,050 : 119,516 = 119,516 : x
  2. Step 2: Convert to fraction form
    56,050/119,516 = 119,516/x
  3. Step 3: Cross multiply
    56,050x = 119,516 × 119,516
  4. Step 4: Simplify right side
    56,050x = 14,284,074,256
  5. Step 5: Solve for x
    x = 14,284,074,256/56,050
  6. Step 6: Final answer
    x = 254,845.21

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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.