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Finding the Third Proportional to 55,376.16 and 120,775.11

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Solution

The third proportional to 55,376.16 and 120,775.11 is: 263,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,376.16 : 120,775.11 = 120,775.11 : x
  2. Step 2: Convert to fraction form
    55,376.16/120,775.11 = 120,775.11/x
  3. Step 3: Cross multiply
    55,376.16x = 120,775.11 × 120,775.11
  4. Step 4: Simplify right side
    55,376.16x = 14,586,627,988.10
  5. Step 5: Solve for x
    x = 14,586,627,988.10/55,376.16
  6. Step 6: Final answer
    x = 263,409.90

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