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Finding the Third Proportional to 73,902 and 157,032

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Solution

The third proportional to 73,902 and 157,032 is: 333,672.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,902 : 157,032 = 157,032 : x
  2. Step 2: Convert to fraction form
    73,902/157,032 = 157,032/x
  3. Step 3: Cross multiply
    73,902x = 157,032 × 157,032
  4. Step 4: Simplify right side
    73,902x = 24,659,049,024
  5. Step 5: Solve for x
    x = 24,659,049,024/73,902
  6. Step 6: Final answer
    x = 333,672.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.