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Finding the Third Proportional to 49,376 and 70,558

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Solution

The third proportional to 49,376 and 70,558 is: 100,826.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,376 : 70,558 = 70,558 : x
  2. Step 2: Convert to fraction form
    49,376/70,558 = 70,558/x
  3. Step 3: Cross multiply
    49,376x = 70,558 × 70,558
  4. Step 4: Simplify right side
    49,376x = 4,978,431,364
  5. Step 5: Solve for x
    x = 4,978,431,364/49,376
  6. Step 6: Final answer
    x = 100,826.95

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.