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Finding the Third Proportional to 101,762 and 157,431

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Solution

The third proportional to 101,762 and 157,431 is: 243,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,762 : 157,431 = 157,431 : x
  2. Step 2: Convert to fraction form
    101,762/157,431 = 157,431/x
  3. Step 3: Cross multiply
    101,762x = 157,431 × 157,431
  4. Step 4: Simplify right side
    101,762x = 24,784,519,761
  5. Step 5: Solve for x
    x = 24,784,519,761/101,762
  6. Step 6: Final answer
    x = 243,553.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.