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Finding the Third Proportional to 48,459 and 104,556

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Solution

The third proportional to 48,459 and 104,556 is: 225,591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,459 : 104,556 = 104,556 : x
  2. Step 2: Convert to fraction form
    48,459/104,556 = 104,556/x
  3. Step 3: Cross multiply
    48,459x = 104,556 × 104,556
  4. Step 4: Simplify right side
    48,459x = 10,931,957,136
  5. Step 5: Solve for x
    x = 10,931,957,136/48,459
  6. Step 6: Final answer
    x = 225,591.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.