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Finding the Third Proportional to 56,230.25 and 118,782.50

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Solution

The third proportional to 56,230.25 and 118,782.50 is: 250,919.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,230.25 : 118,782.50 = 118,782.50 : x
  2. Step 2: Convert to fraction form
    56,230.25/118,782.50 = 118,782.50/x
  3. Step 3: Cross multiply
    56,230.25x = 118,782.50 × 118,782.50
  4. Step 4: Simplify right side
    56,230.25x = 14,109,282,306.25
  5. Step 5: Solve for x
    x = 14,109,282,306.25/56,230.25
  6. Step 6: Final answer
    x = 250,919.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.