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Finding the Third Proportional to 102,717 and 153,384

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Solution

The third proportional to 102,717 and 153,384 is: 229,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,717 : 153,384 = 153,384 : x
  2. Step 2: Convert to fraction form
    102,717/153,384 = 153,384/x
  3. Step 3: Cross multiply
    102,717x = 153,384 × 153,384
  4. Step 4: Simplify right side
    102,717x = 23,526,651,456
  5. Step 5: Solve for x
    x = 23,526,651,456/102,717
  6. Step 6: Final answer
    x = 229,043.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.