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Finding the Third Proportional to 114,765.75 and 161,328.94

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Solution

The third proportional to 114,765.75 and 161,328.94 is: 226,783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,765.75 : 161,328.94 = 161,328.94 : x
  2. Step 2: Convert to fraction form
    114,765.75/161,328.94 = 161,328.94/x
  3. Step 3: Cross multiply
    114,765.75x = 161,328.94 × 161,328.94
  4. Step 4: Simplify right side
    114,765.75x = 26,027,026,074.88
  5. Step 5: Solve for x
    x = 26,027,026,074.88/114,765.75
  6. Step 6: Final answer
    x = 226,783.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.