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Finding the Third Proportional to 51,792 and 79,736

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Solution

The third proportional to 51,792 and 79,736 is: 122,756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,792 : 79,736 = 79,736 : x
  2. Step 2: Convert to fraction form
    51,792/79,736 = 79,736/x
  3. Step 3: Cross multiply
    51,792x = 79,736 × 79,736
  4. Step 4: Simplify right side
    51,792x = 6,357,829,696
  5. Step 5: Solve for x
    x = 6,357,829,696/51,792
  6. Step 6: Final answer
    x = 122,756.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.