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Finding the Third Proportional to 64,512 and 96,624

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Solution

The third proportional to 64,512 and 96,624 is: 144,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,512 : 96,624 = 96,624 : x
  2. Step 2: Convert to fraction form
    64,512/96,624 = 96,624/x
  3. Step 3: Cross multiply
    64,512x = 96,624 × 96,624
  4. Step 4: Simplify right side
    64,512x = 9,336,197,376
  5. Step 5: Solve for x
    x = 9,336,197,376/64,512
  6. Step 6: Final answer
    x = 144,720.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.