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Finding the Third Proportional to 49,355 and 70,341

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Solution

The third proportional to 49,355 and 70,341 is: 100,250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,355 : 70,341 = 70,341 : x
  2. Step 2: Convert to fraction form
    49,355/70,341 = 70,341/x
  3. Step 3: Cross multiply
    49,355x = 70,341 × 70,341
  4. Step 4: Simplify right side
    49,355x = 4,947,856,281
  5. Step 5: Solve for x
    x = 4,947,856,281/49,355
  6. Step 6: Final answer
    x = 100,250.36

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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.