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Finding the Third Proportional to 105,655 and 143,902

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Solution

The third proportional to 105,655 and 143,902 is: 195,994.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,655 : 143,902 = 143,902 : x
  2. Step 2: Convert to fraction form
    105,655/143,902 = 143,902/x
  3. Step 3: Cross multiply
    105,655x = 143,902 × 143,902
  4. Step 4: Simplify right side
    105,655x = 20,707,785,604
  5. Step 5: Solve for x
    x = 20,707,785,604/105,655
  6. Step 6: Final answer
    x = 195,994.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.