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Finding the Third Proportional to 74,402 and 159,916

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Solution

The third proportional to 74,402 and 159,916 is: 343,715.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,402 : 159,916 = 159,916 : x
  2. Step 2: Convert to fraction form
    74,402/159,916 = 159,916/x
  3. Step 3: Cross multiply
    74,402x = 159,916 × 159,916
  4. Step 4: Simplify right side
    74,402x = 25,573,127,056
  5. Step 5: Solve for x
    x = 25,573,127,056/74,402
  6. Step 6: Final answer
    x = 343,715.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.