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Finding the Third Proportional to 54,688 and 119,600

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Solution

The third proportional to 54,688 and 119,600 is: 261,559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,688 : 119,600 = 119,600 : x
  2. Step 2: Convert to fraction form
    54,688/119,600 = 119,600/x
  3. Step 3: Cross multiply
    54,688x = 119,600 × 119,600
  4. Step 4: Simplify right side
    54,688x = 14,304,160,000
  5. Step 5: Solve for x
    x = 14,304,160,000/54,688
  6. Step 6: Final answer
    x = 261,559.39

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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.