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Finding the Third Proportional to 75,042 and 105,543

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Solution

The third proportional to 75,042 and 105,543 is: 148,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,042 : 105,543 = 105,543 : x
  2. Step 2: Convert to fraction form
    75,042/105,543 = 105,543/x
  3. Step 3: Cross multiply
    75,042x = 105,543 × 105,543
  4. Step 4: Simplify right side
    75,042x = 11,139,324,849
  5. Step 5: Solve for x
    x = 11,139,324,849/75,042
  6. Step 6: Final answer
    x = 148,441.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.