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Finding the Third Proportional to 56,792.50 and 125,006

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Solution

The third proportional to 56,792.50 and 125,006 is: 275,150.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,792.50 : 125,006 = 125,006 : x
  2. Step 2: Convert to fraction form
    56,792.50/125,006 = 125,006/x
  3. Step 3: Cross multiply
    56,792.50x = 125,006 × 125,006
  4. Step 4: Simplify right side
    56,792.50x = 15,626,500,036
  5. Step 5: Solve for x
    x = 15,626,500,036/56,792.50
  6. Step 6: Final answer
    x = 275,150.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.