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Finding the Third Proportional to 49,160 and 115,556

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Solution

The third proportional to 49,160 and 115,556 is: 271,627.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,160 : 115,556 = 115,556 : x
  2. Step 2: Convert to fraction form
    49,160/115,556 = 115,556/x
  3. Step 3: Cross multiply
    49,160x = 115,556 × 115,556
  4. Step 4: Simplify right side
    49,160x = 13,353,189,136
  5. Step 5: Solve for x
    x = 13,353,189,136/49,160
  6. Step 6: Final answer
    x = 271,627.12

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.