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Finding the Third Proportional to 47,770 and 101,232

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Solution

The third proportional to 47,770 and 101,232 is: 214,526.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,770 : 101,232 = 101,232 : x
  2. Step 2: Convert to fraction form
    47,770/101,232 = 101,232/x
  3. Step 3: Cross multiply
    47,770x = 101,232 × 101,232
  4. Step 4: Simplify right side
    47,770x = 10,247,917,824
  5. Step 5: Solve for x
    x = 10,247,917,824/47,770
  6. Step 6: Final answer
    x = 214,526.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.