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Finding the Third Proportional to 53,242 and 79,864

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Solution

The third proportional to 53,242 and 79,864 is: 119,797.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,242 : 79,864 = 79,864 : x
  2. Step 2: Convert to fraction form
    53,242/79,864 = 79,864/x
  3. Step 3: Cross multiply
    53,242x = 79,864 × 79,864
  4. Step 4: Simplify right side
    53,242x = 6,378,258,496
  5. Step 5: Solve for x
    x = 6,378,258,496/53,242
  6. Step 6: Final answer
    x = 119,797.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.