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Finding the Third Proportional to 55,384.07 and 120,792.24

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Solution

The third proportional to 55,384.07 and 120,792.24 is: 263,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,384.07 : 120,792.24 = 120,792.24 : x
  2. Step 2: Convert to fraction form
    55,384.07/120,792.24 = 120,792.24/x
  3. Step 3: Cross multiply
    55,384.07x = 120,792.24 × 120,792.24
  4. Step 4: Simplify right side
    55,384.07x = 14,590,764,946.96
  5. Step 5: Solve for x
    x = 14,590,764,946.96/55,384.07
  6. Step 6: Final answer
    x = 263,446.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.