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Finding the Third Proportional to 57,084 and 83,433

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Solution

The third proportional to 57,084 and 83,433 is: 121,944.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,084 : 83,433 = 83,433 : x
  2. Step 2: Convert to fraction form
    57,084/83,433 = 83,433/x
  3. Step 3: Cross multiply
    57,084x = 83,433 × 83,433
  4. Step 4: Simplify right side
    57,084x = 6,961,065,489
  5. Step 5: Solve for x
    x = 6,961,065,489/57,084
  6. Step 6: Final answer
    x = 121,944.25

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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.