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Finding the Third Proportional to 101,924 and 216,182

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Solution

The third proportional to 101,924 and 216,182 is: 458,524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,924 : 216,182 = 216,182 : x
  2. Step 2: Convert to fraction form
    101,924/216,182 = 216,182/x
  3. Step 3: Cross multiply
    101,924x = 216,182 × 216,182
  4. Step 4: Simplify right side
    101,924x = 46,734,657,124
  5. Step 5: Solve for x
    x = 46,734,657,124/101,924
  6. Step 6: Final answer
    x = 458,524.56

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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.