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Finding the Third Proportional to 85,255.88 and 126,221.63

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Solution

The third proportional to 85,255.88 and 126,221.63 is: 186,871.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,255.88 : 126,221.63 = 126,221.63 : x
  2. Step 2: Convert to fraction form
    85,255.88/126,221.63 = 126,221.63/x
  3. Step 3: Cross multiply
    85,255.88x = 126,221.63 × 126,221.63
  4. Step 4: Simplify right side
    85,255.88x = 15,931,898,617.64
  5. Step 5: Solve for x
    x = 15,931,898,617.64/85,255.88
  6. Step 6: Final answer
    x = 186,871.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.