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Finding the Third Proportional to 98,034.75 and 146,661.75

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Solution

The third proportional to 98,034.75 and 146,661.75 is: 219,408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,034.75 : 146,661.75 = 146,661.75 : x
  2. Step 2: Convert to fraction form
    98,034.75/146,661.75 = 146,661.75/x
  3. Step 3: Cross multiply
    98,034.75x = 146,661.75 × 146,661.75
  4. Step 4: Simplify right side
    98,034.75x = 21,509,668,913.06
  5. Step 5: Solve for x
    x = 21,509,668,913.06/98,034.75
  6. Step 6: Final answer
    x = 219,408.62

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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.