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Finding the Third Proportional to 74,653 and 113,164

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Solution

The third proportional to 74,653 and 113,164 is: 171,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,653 : 113,164 = 113,164 : x
  2. Step 2: Convert to fraction form
    74,653/113,164 = 113,164/x
  3. Step 3: Cross multiply
    74,653x = 113,164 × 113,164
  4. Step 4: Simplify right side
    74,653x = 12,806,090,896
  5. Step 5: Solve for x
    x = 12,806,090,896/74,653
  6. Step 6: Final answer
    x = 171,541.54

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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.