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Finding the Third Proportional to 79,548 and 171,556

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Solution

The third proportional to 79,548 and 171,556 is: 369,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,548 : 171,556 = 171,556 : x
  2. Step 2: Convert to fraction form
    79,548/171,556 = 171,556/x
  3. Step 3: Cross multiply
    79,548x = 171,556 × 171,556
  4. Step 4: Simplify right side
    79,548x = 29,431,461,136
  5. Step 5: Solve for x
    x = 29,431,461,136/79,548
  6. Step 6: Final answer
    x = 369,983.67

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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.