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Finding the Third Proportional to 64,586 and 144,292

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Solution

The third proportional to 64,586 and 144,292 is: 322,363.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,586 : 144,292 = 144,292 : x
  2. Step 2: Convert to fraction form
    64,586/144,292 = 144,292/x
  3. Step 3: Cross multiply
    64,586x = 144,292 × 144,292
  4. Step 4: Simplify right side
    64,586x = 20,820,181,264
  5. Step 5: Solve for x
    x = 20,820,181,264/64,586
  6. Step 6: Final answer
    x = 322,363.69

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.