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Finding the Third Proportional to 105,033.38 and 159,134.63

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Solution

The third proportional to 105,033.38 and 159,134.63 is: 241,102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,033.38 : 159,134.63 = 159,134.63 : x
  2. Step 2: Convert to fraction form
    105,033.38/159,134.63 = 159,134.63/x
  3. Step 3: Cross multiply
    105,033.38x = 159,134.63 × 159,134.63
  4. Step 4: Simplify right side
    105,033.38x = 25,323,828,873.89
  5. Step 5: Solve for x
    x = 25,323,828,873.89/105,033.38
  6. Step 6: Final answer
    x = 241,102.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.