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Finding the Third Proportional to 50,862 and 79,389

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Solution

The third proportional to 50,862 and 79,389 is: 123,915.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,862 : 79,389 = 79,389 : x
  2. Step 2: Convert to fraction form
    50,862/79,389 = 79,389/x
  3. Step 3: Cross multiply
    50,862x = 79,389 × 79,389
  4. Step 4: Simplify right side
    50,862x = 6,302,613,321
  5. Step 5: Solve for x
    x = 6,302,613,321/50,862
  6. Step 6: Final answer
    x = 123,915.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.