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Finding the Third Proportional to 133,799 and 183,473

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Solution

The third proportional to 133,799 and 183,473 is: 251,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,799 : 183,473 = 183,473 : x
  2. Step 2: Convert to fraction form
    133,799/183,473 = 183,473/x
  3. Step 3: Cross multiply
    133,799x = 183,473 × 183,473
  4. Step 4: Simplify right side
    133,799x = 33,662,341,729
  5. Step 5: Solve for x
    x = 33,662,341,729/133,799
  6. Step 6: Final answer
    x = 251,588.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.