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Finding the Third Proportional to 74,924 and 159,385

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Solution

The third proportional to 74,924 and 159,385 is: 339,057.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,924 : 159,385 = 159,385 : x
  2. Step 2: Convert to fraction form
    74,924/159,385 = 159,385/x
  3. Step 3: Cross multiply
    74,924x = 159,385 × 159,385
  4. Step 4: Simplify right side
    74,924x = 25,403,578,225
  5. Step 5: Solve for x
    x = 25,403,578,225/74,924
  6. Step 6: Final answer
    x = 339,057.96

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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.