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Finding the Third Proportional to 49,575 and 108,176

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Solution

The third proportional to 49,575 and 108,176 is: 236,047.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,575 : 108,176 = 108,176 : x
  2. Step 2: Convert to fraction form
    49,575/108,176 = 108,176/x
  3. Step 3: Cross multiply
    49,575x = 108,176 × 108,176
  4. Step 4: Simplify right side
    49,575x = 11,702,046,976
  5. Step 5: Solve for x
    x = 11,702,046,976/49,575
  6. Step 6: Final answer
    x = 236,047.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.