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Finding the Third Proportional to 51,056 and 79,148

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Solution

The third proportional to 51,056 and 79,148 is: 122,696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,056 : 79,148 = 79,148 : x
  2. Step 2: Convert to fraction form
    51,056/79,148 = 79,148/x
  3. Step 3: Cross multiply
    51,056x = 79,148 × 79,148
  4. Step 4: Simplify right side
    51,056x = 6,264,405,904
  5. Step 5: Solve for x
    x = 6,264,405,904/51,056
  6. Step 6: Final answer
    x = 122,696.76

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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.