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Finding the Third Proportional to 114,059 and 170,154

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Solution

The third proportional to 114,059 and 170,154 is: 253,836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,059 : 170,154 = 170,154 : x
  2. Step 2: Convert to fraction form
    114,059/170,154 = 170,154/x
  3. Step 3: Cross multiply
    114,059x = 170,154 × 170,154
  4. Step 4: Simplify right side
    114,059x = 28,952,383,716
  5. Step 5: Solve for x
    x = 28,952,383,716/114,059
  6. Step 6: Final answer
    x = 253,836.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.