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Finding the Third Proportional to 102,664 and 150,672

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Solution

The third proportional to 102,664 and 150,672 is: 221,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,664 : 150,672 = 150,672 : x
  2. Step 2: Convert to fraction form
    102,664/150,672 = 150,672/x
  3. Step 3: Cross multiply
    102,664x = 150,672 × 150,672
  4. Step 4: Simplify right side
    102,664x = 22,702,051,584
  5. Step 5: Solve for x
    x = 22,702,051,584/102,664
  6. Step 6: Final answer
    x = 221,129.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.