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Finding the Third Proportional to 47,232 and 102,208

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Solution

The third proportional to 47,232 and 102,208 is: 221,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,232 : 102,208 = 102,208 : x
  2. Step 2: Convert to fraction form
    47,232/102,208 = 102,208/x
  3. Step 3: Cross multiply
    47,232x = 102,208 × 102,208
  4. Step 4: Simplify right side
    47,232x = 10,446,475,264
  5. Step 5: Solve for x
    x = 10,446,475,264/47,232
  6. Step 6: Final answer
    x = 221,173.68

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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.