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Finding the Third Proportional to 74,652 and 116,523

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Solution

The third proportional to 74,652 and 116,523 is: 181,878.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,652 : 116,523 = 116,523 : x
  2. Step 2: Convert to fraction form
    74,652/116,523 = 116,523/x
  3. Step 3: Cross multiply
    74,652x = 116,523 × 116,523
  4. Step 4: Simplify right side
    74,652x = 13,577,609,529
  5. Step 5: Solve for x
    x = 13,577,609,529/74,652
  6. Step 6: Final answer
    x = 181,878.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.