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Finding the Third Proportional to 85,865 and 126,313

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Solution

The third proportional to 85,865 and 126,313 is: 185,814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,865 : 126,313 = 126,313 : x
  2. Step 2: Convert to fraction form
    85,865/126,313 = 126,313/x
  3. Step 3: Cross multiply
    85,865x = 126,313 × 126,313
  4. Step 4: Simplify right side
    85,865x = 15,954,973,969
  5. Step 5: Solve for x
    x = 15,954,973,969/85,865
  6. Step 6: Final answer
    x = 185,814.64

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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.