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Finding the Third Proportional to 105,162 and 141,703

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Solution

The third proportional to 105,162 and 141,703 is: 190,941.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,162 : 141,703 = 141,703 : x
  2. Step 2: Convert to fraction form
    105,162/141,703 = 141,703/x
  3. Step 3: Cross multiply
    105,162x = 141,703 × 141,703
  4. Step 4: Simplify right side
    105,162x = 20,079,740,209
  5. Step 5: Solve for x
    x = 20,079,740,209/105,162
  6. Step 6: Final answer
    x = 190,941.03

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.