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Finding the Third Proportional to 51,008 and 79,536

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Solution

The third proportional to 51,008 and 79,536 is: 124,019.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,008 : 79,536 = 79,536 : x
  2. Step 2: Convert to fraction form
    51,008/79,536 = 79,536/x
  3. Step 3: Cross multiply
    51,008x = 79,536 × 79,536
  4. Step 4: Simplify right side
    51,008x = 6,325,975,296
  5. Step 5: Solve for x
    x = 6,325,975,296/51,008
  6. Step 6: Final answer
    x = 124,019.28

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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.