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Finding the Third Proportional to 52,519 and 83,159

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Solution

The third proportional to 52,519 and 83,159 is: 131,674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,519 : 83,159 = 83,159 : x
  2. Step 2: Convert to fraction form
    52,519/83,159 = 83,159/x
  3. Step 3: Cross multiply
    52,519x = 83,159 × 83,159
  4. Step 4: Simplify right side
    52,519x = 6,915,419,281
  5. Step 5: Solve for x
    x = 6,915,419,281/52,519
  6. Step 6: Final answer
    x = 131,674.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.