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Finding the Third Proportional to 133,931 and 183,644

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Solution

The third proportional to 133,931 and 183,644 is: 251,809.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,931 : 183,644 = 183,644 : x
  2. Step 2: Convert to fraction form
    133,931/183,644 = 183,644/x
  3. Step 3: Cross multiply
    133,931x = 183,644 × 183,644
  4. Step 4: Simplify right side
    133,931x = 33,725,118,736
  5. Step 5: Solve for x
    x = 33,725,118,736/133,931
  6. Step 6: Final answer
    x = 251,809.65

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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.