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Finding the Third Proportional to 57,482 and 83,991

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Solution

The third proportional to 57,482 and 83,991 is: 122,725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,482 : 83,991 = 83,991 : x
  2. Step 2: Convert to fraction form
    57,482/83,991 = 83,991/x
  3. Step 3: Cross multiply
    57,482x = 83,991 × 83,991
  4. Step 4: Simplify right side
    57,482x = 7,054,488,081
  5. Step 5: Solve for x
    x = 7,054,488,081/57,482
  6. Step 6: Final answer
    x = 122,725.17

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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.