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Finding the Third Proportional to 75,542 and 105,879

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Solution

The third proportional to 75,542 and 105,879 is: 148,399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,542 : 105,879 = 105,879 : x
  2. Step 2: Convert to fraction form
    75,542/105,879 = 105,879/x
  3. Step 3: Cross multiply
    75,542x = 105,879 × 105,879
  4. Step 4: Simplify right side
    75,542x = 11,210,362,641
  5. Step 5: Solve for x
    x = 11,210,362,641/75,542
  6. Step 6: Final answer
    x = 148,399.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.