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Finding the Third Proportional to 133,902 and 183,609

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Solution

The third proportional to 133,902 and 183,609 is: 251,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,902 : 183,609 = 183,609 : x
  2. Step 2: Convert to fraction form
    133,902/183,609 = 183,609/x
  3. Step 3: Cross multiply
    133,902x = 183,609 × 183,609
  4. Step 4: Simplify right side
    133,902x = 33,712,264,881
  5. Step 5: Solve for x
    x = 33,712,264,881/133,902
  6. Step 6: Final answer
    x = 251,768.20

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