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Finding the Third Proportional to 73,916 and 158,902

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Solution

The third proportional to 73,916 and 158,902 is: 341,601.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,916 : 158,902 = 158,902 : x
  2. Step 2: Convert to fraction form
    73,916/158,902 = 158,902/x
  3. Step 3: Cross multiply
    73,916x = 158,902 × 158,902
  4. Step 4: Simplify right side
    73,916x = 25,249,845,604
  5. Step 5: Solve for x
    x = 25,249,845,604/73,916
  6. Step 6: Final answer
    x = 341,601.89

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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.