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Finding the Third Proportional to 81,797.50 and 175,259

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Solution

The third proportional to 81,797.50 and 175,259 is: 375,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,797.50 : 175,259 = 175,259 : x
  2. Step 2: Convert to fraction form
    81,797.50/175,259 = 175,259/x
  3. Step 3: Cross multiply
    81,797.50x = 175,259 × 175,259
  4. Step 4: Simplify right side
    81,797.50x = 30,715,717,081
  5. Step 5: Solve for x
    x = 30,715,717,081/81,797.50
  6. Step 6: Final answer
    x = 375,509.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.