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Finding the Third Proportional to 116,659.13 and 175,080.38

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Solution

The third proportional to 116,659.13 and 175,080.38 is: 262,758.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,659.13 : 175,080.38 = 175,080.38 : x
  2. Step 2: Convert to fraction form
    116,659.13/175,080.38 = 175,080.38/x
  3. Step 3: Cross multiply
    116,659.13x = 175,080.38 × 175,080.38
  4. Step 4: Simplify right side
    116,659.13x = 30,653,137,710.14
  5. Step 5: Solve for x
    x = 30,653,137,710.14/116,659.13
  6. Step 6: Final answer
    x = 262,758.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.