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Finding the Third Proportional to 48,018 and 75,180

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Solution

The third proportional to 48,018 and 75,180 is: 117,706.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,018 : 75,180 = 75,180 : x
  2. Step 2: Convert to fraction form
    48,018/75,180 = 75,180/x
  3. Step 3: Cross multiply
    48,018x = 75,180 × 75,180
  4. Step 4: Simplify right side
    48,018x = 5,652,032,400
  5. Step 5: Solve for x
    x = 5,652,032,400/48,018
  6. Step 6: Final answer
    x = 117,706.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.