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Finding the Third Proportional to 76,669.03 and 117,680.34

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Solution

The third proportional to 76,669.03 and 117,680.34 is: 180,629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,669.03 : 117,680.34 = 117,680.34 : x
  2. Step 2: Convert to fraction form
    76,669.03/117,680.34 = 117,680.34/x
  3. Step 3: Cross multiply
    76,669.03x = 117,680.34 × 117,680.34
  4. Step 4: Simplify right side
    76,669.03x = 13,848,663,305.12
  5. Step 5: Solve for x
    x = 13,848,663,305.12/76,669.03
  6. Step 6: Final answer
    x = 180,629.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.