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Finding the Third Proportional to 49,105 and 75,575

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Solution

The third proportional to 49,105 and 75,575 is: 116,313.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,105 : 75,575 = 75,575 : x
  2. Step 2: Convert to fraction form
    49,105/75,575 = 75,575/x
  3. Step 3: Cross multiply
    49,105x = 75,575 × 75,575
  4. Step 4: Simplify right side
    49,105x = 5,711,580,625
  5. Step 5: Solve for x
    x = 5,711,580,625/49,105
  6. Step 6: Final answer
    x = 116,313.63

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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.