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Finding the Third Proportional to 119,080.13 and 189,555.19

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Solution

The third proportional to 119,080.13 and 189,555.19 is: 301,739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,080.13 : 189,555.19 = 189,555.19 : x
  2. Step 2: Convert to fraction form
    119,080.13/189,555.19 = 189,555.19/x
  3. Step 3: Cross multiply
    119,080.13x = 189,555.19 × 189,555.19
  4. Step 4: Simplify right side
    119,080.13x = 35,931,169,108.16
  5. Step 5: Solve for x
    x = 35,931,169,108.16/119,080.13
  6. Step 6: Final answer
    x = 301,739.43

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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.