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Finding the Third Proportional to 133,323 and 187,509

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Solution

The third proportional to 133,323 and 187,509 is: 263,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,323 : 187,509 = 187,509 : x
  2. Step 2: Convert to fraction form
    133,323/187,509 = 187,509/x
  3. Step 3: Cross multiply
    133,323x = 187,509 × 187,509
  4. Step 4: Simplify right side
    133,323x = 35,159,625,081
  5. Step 5: Solve for x
    x = 35,159,625,081/133,323
  6. Step 6: Final answer
    x = 263,717.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.