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Finding the Third Proportional to 50,640 and 109,920

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Solution

The third proportional to 50,640 and 109,920 is: 238,594.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,640 : 109,920 = 109,920 : x
  2. Step 2: Convert to fraction form
    50,640/109,920 = 109,920/x
  3. Step 3: Cross multiply
    50,640x = 109,920 × 109,920
  4. Step 4: Simplify right side
    50,640x = 12,082,406,400
  5. Step 5: Solve for x
    x = 12,082,406,400/50,640
  6. Step 6: Final answer
    x = 238,594.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.