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Finding the Third Proportional to 86,006.25 and 175,833

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Solution

The third proportional to 86,006.25 and 175,833 is: 359,476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,006.25 : 175,833 = 175,833 : x
  2. Step 2: Convert to fraction form
    86,006.25/175,833 = 175,833/x
  3. Step 3: Cross multiply
    86,006.25x = 175,833 × 175,833
  4. Step 4: Simplify right side
    86,006.25x = 30,917,243,889
  5. Step 5: Solve for x
    x = 30,917,243,889/86,006.25
  6. Step 6: Final answer
    x = 359,476.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.