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Finding the Third Proportional to 101,487 and 144,249

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Solution

The third proportional to 101,487 and 144,249 is: 205,028.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,487 : 144,249 = 144,249 : x
  2. Step 2: Convert to fraction form
    101,487/144,249 = 144,249/x
  3. Step 3: Cross multiply
    101,487x = 144,249 × 144,249
  4. Step 4: Simplify right side
    101,487x = 20,807,774,001
  5. Step 5: Solve for x
    x = 20,807,774,001/101,487
  6. Step 6: Final answer
    x = 205,028.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.