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Finding the Third Proportional to 54,376 and 119,120

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Solution

The third proportional to 54,376 and 119,120 is: 260,952.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,376 : 119,120 = 119,120 : x
  2. Step 2: Convert to fraction form
    54,376/119,120 = 119,120/x
  3. Step 3: Cross multiply
    54,376x = 119,120 × 119,120
  4. Step 4: Simplify right side
    54,376x = 14,189,574,400
  5. Step 5: Solve for x
    x = 14,189,574,400/54,376
  6. Step 6: Final answer
    x = 260,952.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.