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Finding the Third Proportional to 51,560 and 77,756

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Solution

The third proportional to 51,560 and 77,756 is: 117,261.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,560 : 77,756 = 77,756 : x
  2. Step 2: Convert to fraction form
    51,560/77,756 = 77,756/x
  3. Step 3: Cross multiply
    51,560x = 77,756 × 77,756
  4. Step 4: Simplify right side
    51,560x = 6,045,995,536
  5. Step 5: Solve for x
    x = 6,045,995,536/51,560
  6. Step 6: Final answer
    x = 117,261.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.