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Finding the Third Proportional to 47,556 and 104,076

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Solution

The third proportional to 47,556 and 104,076 is: 227,769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,556 : 104,076 = 104,076 : x
  2. Step 2: Convert to fraction form
    47,556/104,076 = 104,076/x
  3. Step 3: Cross multiply
    47,556x = 104,076 × 104,076
  4. Step 4: Simplify right side
    47,556x = 10,831,813,776
  5. Step 5: Solve for x
    x = 10,831,813,776/47,556
  6. Step 6: Final answer
    x = 227,769.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.