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Finding the Third Proportional to 74,924 and 159,383

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Solution

The third proportional to 74,924 and 159,383 is: 339,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,924 : 159,383 = 159,383 : x
  2. Step 2: Convert to fraction form
    74,924/159,383 = 159,383/x
  3. Step 3: Cross multiply
    74,924x = 159,383 × 159,383
  4. Step 4: Simplify right side
    74,924x = 25,402,940,689
  5. Step 5: Solve for x
    x = 25,402,940,689/74,924
  6. Step 6: Final answer
    x = 339,049.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.