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Finding the Third Proportional to 49,056 and 75,942

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Solution

The third proportional to 49,056 and 75,942 is: 117,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,056 : 75,942 = 75,942 : x
  2. Step 2: Convert to fraction form
    49,056/75,942 = 75,942/x
  3. Step 3: Cross multiply
    49,056x = 75,942 × 75,942
  4. Step 4: Simplify right side
    49,056x = 5,767,187,364
  5. Step 5: Solve for x
    x = 5,767,187,364/49,056
  6. Step 6: Final answer
    x = 117,563.34

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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.