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Finding the Third Proportional to 73,122 and 157,902

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Solution

The third proportional to 73,122 and 157,902 is: 340,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,122 : 157,902 = 157,902 : x
  2. Step 2: Convert to fraction form
    73,122/157,902 = 157,902/x
  3. Step 3: Cross multiply
    73,122x = 157,902 × 157,902
  4. Step 4: Simplify right side
    73,122x = 24,933,041,604
  5. Step 5: Solve for x
    x = 24,933,041,604/73,122
  6. Step 6: Final answer
    x = 340,978.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.