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Finding the Third Proportional to 51,510 and 79,713

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Solution

The third proportional to 51,510 and 79,713 is: 123,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,510 : 79,713 = 79,713 : x
  2. Step 2: Convert to fraction form
    51,510/79,713 = 79,713/x
  3. Step 3: Cross multiply
    51,510x = 79,713 × 79,713
  4. Step 4: Simplify right side
    51,510x = 6,354,162,369
  5. Step 5: Solve for x
    x = 6,354,162,369/51,510
  6. Step 6: Final answer
    x = 123,357.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.