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Finding the Third Proportional to 105,107.63 and 158,754.94

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Solution

The third proportional to 105,107.63 and 158,754.94 is: 239,784.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,107.63 : 158,754.94 = 158,754.94 : x
  2. Step 2: Convert to fraction form
    105,107.63/158,754.94 = 158,754.94/x
  3. Step 3: Cross multiply
    105,107.63x = 158,754.94 × 158,754.94
  4. Step 4: Simplify right side
    105,107.63x = 25,203,130,180.63
  5. Step 5: Solve for x
    x = 25,203,130,180.63/105,107.63
  6. Step 6: Final answer
    x = 239,784.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.