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Finding the Third Proportional to 49,416 and 104,724

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Solution

The third proportional to 49,416 and 104,724 is: 221,934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,416 : 104,724 = 104,724 : x
  2. Step 2: Convert to fraction form
    49,416/104,724 = 104,724/x
  3. Step 3: Cross multiply
    49,416x = 104,724 × 104,724
  4. Step 4: Simplify right side
    49,416x = 10,967,116,176
  5. Step 5: Solve for x
    x = 10,967,116,176/49,416
  6. Step 6: Final answer
    x = 221,934.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.