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Finding the Third Proportional to 101,486 and 144,248

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Solution

The third proportional to 101,486 and 144,248 is: 205,028.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,486 : 144,248 = 144,248 : x
  2. Step 2: Convert to fraction form
    101,486/144,248 = 144,248/x
  3. Step 3: Cross multiply
    101,486x = 144,248 × 144,248
  4. Step 4: Simplify right side
    101,486x = 20,807,485,504
  5. Step 5: Solve for x
    x = 20,807,485,504/101,486
  6. Step 6: Final answer
    x = 205,028.14

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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.