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Finding the Third Proportional to 64,516 and 131,624

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Solution

The third proportional to 64,516 and 131,624 is: 268,536.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,516 : 131,624 = 131,624 : x
  2. Step 2: Convert to fraction form
    64,516/131,624 = 131,624/x
  3. Step 3: Cross multiply
    64,516x = 131,624 × 131,624
  4. Step 4: Simplify right side
    64,516x = 17,324,877,376
  5. Step 5: Solve for x
    x = 17,324,877,376/64,516
  6. Step 6: Final answer
    x = 268,536.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.