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Finding the Third Proportional to 75,124 and 109,796

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Solution

The third proportional to 75,124 and 109,796 is: 160,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,124 : 109,796 = 109,796 : x
  2. Step 2: Convert to fraction form
    75,124/109,796 = 109,796/x
  3. Step 3: Cross multiply
    75,124x = 109,796 × 109,796
  4. Step 4: Simplify right side
    75,124x = 12,055,161,616
  5. Step 5: Solve for x
    x = 12,055,161,616/75,124
  6. Step 6: Final answer
    x = 160,470.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.