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Finding the Third Proportional to 144,460.13 and 191,732.06

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Solution

The third proportional to 144,460.13 and 191,732.06 is: 254,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,460.13 : 191,732.06 = 191,732.06 : x
  2. Step 2: Convert to fraction form
    144,460.13/191,732.06 = 191,732.06/x
  3. Step 3: Cross multiply
    144,460.13x = 191,732.06 × 191,732.06
  4. Step 4: Simplify right side
    144,460.13x = 36,761,183,790.50
  5. Step 5: Solve for x
    x = 36,761,183,790.50/144,460.13
  6. Step 6: Final answer
    x = 254,472.88

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.