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Finding the Third Proportional to 85,371.75 and 125,289.70

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Solution

The third proportional to 85,371.75 and 125,289.70 is: 183,872.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,371.75 : 125,289.70 = 125,289.70 : x
  2. Step 2: Convert to fraction form
    85,371.75/125,289.70 = 125,289.70/x
  3. Step 3: Cross multiply
    85,371.75x = 125,289.70 × 125,289.70
  4. Step 4: Simplify right side
    85,371.75x = 15,697,509,709.15
  5. Step 5: Solve for x
    x = 15,697,509,709.15/85,371.75
  6. Step 6: Final answer
    x = 183,872.41

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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.