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Finding the Third Proportional to 55,380.38 and 120,025.13

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Solution

The third proportional to 55,380.38 and 120,025.13 is: 260,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,380.38 : 120,025.13 = 120,025.13 : x
  2. Step 2: Convert to fraction form
    55,380.38/120,025.13 = 120,025.13/x
  3. Step 3: Cross multiply
    55,380.38x = 120,025.13 × 120,025.13
  4. Step 4: Simplify right side
    55,380.38x = 14,406,030,631.27
  5. Step 5: Solve for x
    x = 14,406,030,631.27/55,380.38
  6. Step 6: Final answer
    x = 260,128.80

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Why These Related Problems?

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