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Finding the Third Proportional to 133,768.88 and 183,430.69

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Solution

The third proportional to 133,768.88 and 183,430.69 is: 251,529.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,768.88 : 183,430.69 = 183,430.69 : x
  2. Step 2: Convert to fraction form
    133,768.88/183,430.69 = 183,430.69/x
  3. Step 3: Cross multiply
    133,768.88x = 183,430.69 × 183,430.69
  4. Step 4: Simplify right side
    133,768.88x = 33,646,817,116.72
  5. Step 5: Solve for x
    x = 33,646,817,116.72/133,768.88
  6. Step 6: Final answer
    x = 251,529.49

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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.