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Finding the Third Proportional to 55,176.19 and 120,376.13

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Solution

The third proportional to 55,176.19 and 120,376.13 is: 262,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,176.19 : 120,376.13 = 120,376.13 : x
  2. Step 2: Convert to fraction form
    55,176.19/120,376.13 = 120,376.13/x
  3. Step 3: Cross multiply
    55,176.19x = 120,376.13 × 120,376.13
  4. Step 4: Simplify right side
    55,176.19x = 14,490,411,470.02
  5. Step 5: Solve for x
    x = 14,490,411,470.02/55,176.19
  6. Step 6: Final answer
    x = 262,620.75

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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.