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Finding the Third Proportional to 57,146 and 83,485

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Solution

The third proportional to 57,146 and 83,485 is: 121,963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,146 : 83,485 = 83,485 : x
  2. Step 2: Convert to fraction form
    57,146/83,485 = 83,485/x
  3. Step 3: Cross multiply
    57,146x = 83,485 × 83,485
  4. Step 4: Simplify right side
    57,146x = 6,969,745,225
  5. Step 5: Solve for x
    x = 6,969,745,225/57,146
  6. Step 6: Final answer
    x = 121,963.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.