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Finding the Third Proportional to 135,799 and 177,434

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Solution

The third proportional to 135,799 and 177,434 is: 231,833.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,799 : 177,434 = 177,434 : x
  2. Step 2: Convert to fraction form
    135,799/177,434 = 177,434/x
  3. Step 3: Cross multiply
    135,799x = 177,434 × 177,434
  4. Step 4: Simplify right side
    135,799x = 31,482,824,356
  5. Step 5: Solve for x
    x = 31,482,824,356/135,799
  6. Step 6: Final answer
    x = 231,833.99

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.