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Finding the Third Proportional to 56,119.50 and 122,057.72

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Solution

The third proportional to 56,119.50 and 122,057.72 is: 265,470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,119.50 : 122,057.72 = 122,057.72 : x
  2. Step 2: Convert to fraction form
    56,119.50/122,057.72 = 122,057.72/x
  3. Step 3: Cross multiply
    56,119.50x = 122,057.72 × 122,057.72
  4. Step 4: Simplify right side
    56,119.50x = 14,898,086,706.45
  5. Step 5: Solve for x
    x = 14,898,086,706.45/56,119.50
  6. Step 6: Final answer
    x = 265,470.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.