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Finding the Third Proportional to 47,484 and 101,556

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Solution

The third proportional to 47,484 and 101,556 is: 217,202.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,484 : 101,556 = 101,556 : x
  2. Step 2: Convert to fraction form
    47,484/101,556 = 101,556/x
  3. Step 3: Cross multiply
    47,484x = 101,556 × 101,556
  4. Step 4: Simplify right side
    47,484x = 10,313,621,136
  5. Step 5: Solve for x
    x = 10,313,621,136/47,484
  6. Step 6: Final answer
    x = 217,202.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.