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Finding the Third Proportional to 52,338 and 79,155

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Solution

The third proportional to 52,338 and 79,155 is: 119,712.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,338 : 79,155 = 79,155 : x
  2. Step 2: Convert to fraction form
    52,338/79,155 = 79,155/x
  3. Step 3: Cross multiply
    52,338x = 79,155 × 79,155
  4. Step 4: Simplify right side
    52,338x = 6,265,514,025
  5. Step 5: Solve for x
    x = 6,265,514,025/52,338
  6. Step 6: Final answer
    x = 119,712.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.