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Finding the Third Proportional to 74,653 and 113,165

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Solution

The third proportional to 74,653 and 113,165 is: 171,544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,653 : 113,165 = 113,165 : x
  2. Step 2: Convert to fraction form
    74,653/113,165 = 113,165/x
  3. Step 3: Cross multiply
    74,653x = 113,165 × 113,165
  4. Step 4: Simplify right side
    74,653x = 12,806,317,225
  5. Step 5: Solve for x
    x = 12,806,317,225/74,653
  6. Step 6: Final answer
    x = 171,544.58

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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.