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Finding the Third Proportional to 51,713 and 79,073.50

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Solution

The third proportional to 51,713 and 79,073.50 is: 120,909.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,713 : 79,073.50 = 79,073.50 : x
  2. Step 2: Convert to fraction form
    51,713/79,073.50 = 79,073.50/x
  3. Step 3: Cross multiply
    51,713x = 79,073.50 × 79,073.50
  4. Step 4: Simplify right side
    51,713x = 6,252,618,402.25
  5. Step 5: Solve for x
    x = 6,252,618,402.25/51,713
  6. Step 6: Final answer
    x = 120,909.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.