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Finding the Third Proportional to 101,132 and 145,674

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Solution

The third proportional to 101,132 and 145,674 is: 209,833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,132 : 145,674 = 145,674 : x
  2. Step 2: Convert to fraction form
    101,132/145,674 = 145,674/x
  3. Step 3: Cross multiply
    101,132x = 145,674 × 145,674
  4. Step 4: Simplify right side
    101,132x = 21,220,914,276
  5. Step 5: Solve for x
    x = 21,220,914,276/101,132
  6. Step 6: Final answer
    x = 209,833.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.