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Finding the Third Proportional to 48,128 and 74,378

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Solution

The third proportional to 48,128 and 74,378 is: 114,945.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,128 : 74,378 = 74,378 : x
  2. Step 2: Convert to fraction form
    48,128/74,378 = 74,378/x
  3. Step 3: Cross multiply
    48,128x = 74,378 × 74,378
  4. Step 4: Simplify right side
    48,128x = 5,532,086,884
  5. Step 5: Solve for x
    x = 5,532,086,884/48,128
  6. Step 6: Final answer
    x = 114,945.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.