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Finding the Third Proportional to 56,626 and 118,759

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Solution

The third proportional to 56,626 and 118,759 is: 249,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,626 : 118,759 = 118,759 : x
  2. Step 2: Convert to fraction form
    56,626/118,759 = 118,759/x
  3. Step 3: Cross multiply
    56,626x = 118,759 × 118,759
  4. Step 4: Simplify right side
    56,626x = 14,103,700,081
  5. Step 5: Solve for x
    x = 14,103,700,081/56,626
  6. Step 6: Final answer
    x = 249,067.57

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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.