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Finding the Third Proportional to 123,132 and 256,632

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Solution

The third proportional to 123,132 and 256,632 is: 534,873.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,132 : 256,632 = 256,632 : x
  2. Step 2: Convert to fraction form
    123,132/256,632 = 256,632/x
  3. Step 3: Cross multiply
    123,132x = 256,632 × 256,632
  4. Step 4: Simplify right side
    123,132x = 65,859,983,424
  5. Step 5: Solve for x
    x = 65,859,983,424/123,132
  6. Step 6: Final answer
    x = 534,873.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.