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Finding the Third Proportional to 105,080.63 and 158,716.13

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Solution

The third proportional to 105,080.63 and 158,716.13 is: 239,728.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,080.63 : 158,716.13 = 158,716.13 : x
  2. Step 2: Convert to fraction form
    105,080.63/158,716.13 = 158,716.13/x
  3. Step 3: Cross multiply
    105,080.63x = 158,716.13 × 158,716.13
  4. Step 4: Simplify right side
    105,080.63x = 25,190,808,335.02
  5. Step 5: Solve for x
    x = 25,190,808,335.02/105,080.63
  6. Step 6: Final answer
    x = 239,728.38

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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.