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Finding the Third Proportional to 65,664 and 145,368

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Solution

The third proportional to 65,664 and 145,368 is: 321,817.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,664 : 145,368 = 145,368 : x
  2. Step 2: Convert to fraction form
    65,664/145,368 = 145,368/x
  3. Step 3: Cross multiply
    65,664x = 145,368 × 145,368
  4. Step 4: Simplify right side
    65,664x = 21,131,855,424
  5. Step 5: Solve for x
    x = 21,131,855,424/65,664
  6. Step 6: Final answer
    x = 321,817.97

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.