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Finding the Third Proportional to 49,592 and 75,554

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Solution

The third proportional to 49,592 and 75,554 is: 115,107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,592 : 75,554 = 75,554 : x
  2. Step 2: Convert to fraction form
    49,592/75,554 = 75,554/x
  3. Step 3: Cross multiply
    49,592x = 75,554 × 75,554
  4. Step 4: Simplify right side
    49,592x = 5,708,406,916
  5. Step 5: Solve for x
    x = 5,708,406,916/49,592
  6. Step 6: Final answer
    x = 115,107.41

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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.