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Finding the Third Proportional to 53,238 and 79,858

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Solution

The third proportional to 53,238 and 79,858 is: 119,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,238 : 79,858 = 79,858 : x
  2. Step 2: Convert to fraction form
    53,238/79,858 = 79,858/x
  3. Step 3: Cross multiply
    53,238x = 79,858 × 79,858
  4. Step 4: Simplify right side
    53,238x = 6,377,300,164
  5. Step 5: Solve for x
    x = 6,377,300,164/53,238
  6. Step 6: Final answer
    x = 119,788.50

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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.