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Finding the Third Proportional to 48,155 and 74,855.75

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Solution

The third proportional to 48,155 and 74,855.75 is: 116,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,155 : 74,855.75 = 74,855.75 : x
  2. Step 2: Convert to fraction form
    48,155/74,855.75 = 74,855.75/x
  3. Step 3: Cross multiply
    48,155x = 74,855.75 × 74,855.75
  4. Step 4: Simplify right side
    48,155x = 5,603,383,308.06
  5. Step 5: Solve for x
    x = 5,603,383,308.06/48,155
  6. Step 6: Final answer
    x = 116,361.40

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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.