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Finding the Third Proportional to 85,395.94 and 127,629

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Solution

The third proportional to 85,395.94 and 127,629 is: 190,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,395.94 : 127,629 = 127,629 : x
  2. Step 2: Convert to fraction form
    85,395.94/127,629 = 127,629/x
  3. Step 3: Cross multiply
    85,395.94x = 127,629 × 127,629
  4. Step 4: Simplify right side
    85,395.94x = 16,289,161,641
  5. Step 5: Solve for x
    x = 16,289,161,641/85,395.94
  6. Step 6: Final answer
    x = 190,748.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.