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Finding the Third Proportional to 54,338 and 114,590

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Solution

The third proportional to 54,338 and 114,590 is: 241,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,338 : 114,590 = 114,590 : x
  2. Step 2: Convert to fraction form
    54,338/114,590 = 114,590/x
  3. Step 3: Cross multiply
    54,338x = 114,590 × 114,590
  4. Step 4: Simplify right side
    54,338x = 13,130,868,100
  5. Step 5: Solve for x
    x = 13,130,868,100/54,338
  6. Step 6: Final answer
    x = 241,651.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.