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Finding the Third Proportional to 49,600 and 75,560

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Solution

The third proportional to 49,600 and 75,560 is: 115,107.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,600 : 75,560 = 75,560 : x
  2. Step 2: Convert to fraction form
    49,600/75,560 = 75,560/x
  3. Step 3: Cross multiply
    49,600x = 75,560 × 75,560
  4. Step 4: Simplify right side
    49,600x = 5,709,313,600
  5. Step 5: Solve for x
    x = 5,709,313,600/49,600
  6. Step 6: Final answer
    x = 115,107.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.