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Finding the Third Proportional to 64,512 and 101,376

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Solution

The third proportional to 64,512 and 101,376 is: 159,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,512 : 101,376 = 101,376 : x
  2. Step 2: Convert to fraction form
    64,512/101,376 = 101,376/x
  3. Step 3: Cross multiply
    64,512x = 101,376 × 101,376
  4. Step 4: Simplify right side
    64,512x = 10,277,093,376
  5. Step 5: Solve for x
    x = 10,277,093,376/64,512
  6. Step 6: Final answer
    x = 159,305.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.