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Finding the Third Proportional to 119,085.75 and 189,563.63

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Solution

The third proportional to 119,085.75 and 189,563.63 is: 301,752.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,085.75 : 189,563.63 = 189,563.63 : x
  2. Step 2: Convert to fraction form
    119,085.75/189,563.63 = 189,563.63/x
  3. Step 3: Cross multiply
    119,085.75x = 189,563.63 × 189,563.63
  4. Step 4: Simplify right side
    119,085.75x = 35,934,367,923.14
  5. Step 5: Solve for x
    x = 35,934,367,923.14/119,085.75
  6. Step 6: Final answer
    x = 301,752.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.