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Finding the Third Proportional to 102,717 and 157,963

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Solution

The third proportional to 102,717 and 157,963 is: 242,922.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,717 : 157,963 = 157,963 : x
  2. Step 2: Convert to fraction form
    102,717/157,963 = 157,963/x
  3. Step 3: Cross multiply
    102,717x = 157,963 × 157,963
  4. Step 4: Simplify right side
    102,717x = 24,952,309,369
  5. Step 5: Solve for x
    x = 24,952,309,369/102,717
  6. Step 6: Final answer
    x = 242,922.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.