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Finding the Third Proportional to 85,887.84 and 126,266.34

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Solution

The third proportional to 85,887.84 and 126,266.34 is: 185,628.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,887.84 : 126,266.34 = 126,266.34 : x
  2. Step 2: Convert to fraction form
    85,887.84/126,266.34 = 126,266.34/x
  3. Step 3: Cross multiply
    85,887.84x = 126,266.34 × 126,266.34
  4. Step 4: Simplify right side
    85,887.84x = 15,943,189,563.99
  5. Step 5: Solve for x
    x = 15,943,189,563.99/85,887.84
  6. Step 6: Final answer
    x = 185,628.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.