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Finding the Third Proportional to 133,788.38 and 183,461.63

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Solution

The third proportional to 133,788.38 and 183,461.63 is: 251,577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,788.38 : 183,461.63 = 183,461.63 : x
  2. Step 2: Convert to fraction form
    133,788.38/183,461.63 = 183,461.63/x
  3. Step 3: Cross multiply
    133,788.38x = 183,461.63 × 183,461.63
  4. Step 4: Simplify right side
    133,788.38x = 33,658,167,847.64
  5. Step 5: Solve for x
    x = 33,658,167,847.64/133,788.38
  6. Step 6: Final answer
    x = 251,577.67

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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.