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Finding the Third Proportional to 105,801.19 and 162,022.78

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Solution

The third proportional to 105,801.19 and 162,022.78 is: 248,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,801.19 : 162,022.78 = 162,022.78 : x
  2. Step 2: Convert to fraction form
    105,801.19/162,022.78 = 162,022.78/x
  3. Step 3: Cross multiply
    105,801.19x = 162,022.78 × 162,022.78
  4. Step 4: Simplify right side
    105,801.19x = 26,251,381,643.99
  5. Step 5: Solve for x
    x = 26,251,381,643.99/105,801.19
  6. Step 6: Final answer
    x = 248,119.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.