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Finding the Third Proportional to 105,081 and 144,498

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Solution

The third proportional to 105,081 and 144,498 is: 198,700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,081 : 144,498 = 144,498 : x
  2. Step 2: Convert to fraction form
    105,081/144,498 = 144,498/x
  3. Step 3: Cross multiply
    105,081x = 144,498 × 144,498
  4. Step 4: Simplify right side
    105,081x = 20,879,672,004
  5. Step 5: Solve for x
    x = 20,879,672,004/105,081
  6. Step 6: Final answer
    x = 198,700.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.