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Finding the Third Proportional to 50,526 and 79,257

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Solution

The third proportional to 50,526 and 79,257 is: 124,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,526 : 79,257 = 79,257 : x
  2. Step 2: Convert to fraction form
    50,526/79,257 = 79,257/x
  3. Step 3: Cross multiply
    50,526x = 79,257 × 79,257
  4. Step 4: Simplify right side
    50,526x = 6,281,672,049
  5. Step 5: Solve for x
    x = 6,281,672,049/50,526
  6. Step 6: Final answer
    x = 124,325.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.