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Finding the Third Proportional to 45,765 and 69,285

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Solution

The third proportional to 45,765 and 69,285 is: 104,892.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,765 : 69,285 = 69,285 : x
  2. Step 2: Convert to fraction form
    45,765/69,285 = 69,285/x
  3. Step 3: Cross multiply
    45,765x = 69,285 × 69,285
  4. Step 4: Simplify right side
    45,765x = 4,800,411,225
  5. Step 5: Solve for x
    x = 4,800,411,225/45,765
  6. Step 6: Final answer
    x = 104,892.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.