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Finding the Third Proportional to 56,409.75 and 120,129.75

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Solution

The third proportional to 56,409.75 and 120,129.75 is: 255,827.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,409.75 : 120,129.75 = 120,129.75 : x
  2. Step 2: Convert to fraction form
    56,409.75/120,129.75 = 120,129.75/x
  3. Step 3: Cross multiply
    56,409.75x = 120,129.75 × 120,129.75
  4. Step 4: Simplify right side
    56,409.75x = 14,431,156,835.06
  5. Step 5: Solve for x
    x = 14,431,156,835.06/56,409.75
  6. Step 6: Final answer
    x = 255,827.35

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.