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Finding the Third Proportional to 98,532.75 and 204,072

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Solution

The third proportional to 98,532.75 and 204,072 is: 422,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,532.75 : 204,072 = 204,072 : x
  2. Step 2: Convert to fraction form
    98,532.75/204,072 = 204,072/x
  3. Step 3: Cross multiply
    98,532.75x = 204,072 × 204,072
  4. Step 4: Simplify right side
    98,532.75x = 41,645,381,184
  5. Step 5: Solve for x
    x = 41,645,381,184/98,532.75
  6. Step 6: Final answer
    x = 422,655.22

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.