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Finding the Third Proportional to 105,374.25 and 187,359.75

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Solution

The third proportional to 105,374.25 and 187,359.75 is: 333,133.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,374.25 : 187,359.75 = 187,359.75 : x
  2. Step 2: Convert to fraction form
    105,374.25/187,359.75 = 187,359.75/x
  3. Step 3: Cross multiply
    105,374.25x = 187,359.75 × 187,359.75
  4. Step 4: Simplify right side
    105,374.25x = 35,103,675,920.06
  5. Step 5: Solve for x
    x = 35,103,675,920.06/105,374.25
  6. Step 6: Final answer
    x = 333,133.34

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.