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Finding the Third Proportional to 49,112 and 75,532

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Solution

The third proportional to 49,112 and 75,532 is: 116,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,112 : 75,532 = 75,532 : x
  2. Step 2: Convert to fraction form
    49,112/75,532 = 75,532/x
  3. Step 3: Cross multiply
    49,112x = 75,532 × 75,532
  4. Step 4: Simplify right side
    49,112x = 5,705,083,024
  5. Step 5: Solve for x
    x = 5,705,083,024/49,112
  6. Step 6: Final answer
    x = 116,164.75

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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.