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Finding the Third Proportional to 49,482 and 116,690

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Solution

The third proportional to 49,482 and 116,690 is: 275,182.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,482 : 116,690 = 116,690 : x
  2. Step 2: Convert to fraction form
    49,482/116,690 = 116,690/x
  3. Step 3: Cross multiply
    49,482x = 116,690 × 116,690
  4. Step 4: Simplify right side
    49,482x = 13,616,556,100
  5. Step 5: Solve for x
    x = 13,616,556,100/49,482
  6. Step 6: Final answer
    x = 275,182.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.