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Finding the Third Proportional to 89,029.50 and 181,356

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Solution

The third proportional to 89,029.50 and 181,356 is: 369,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,029.50 : 181,356 = 181,356 : x
  2. Step 2: Convert to fraction form
    89,029.50/181,356 = 181,356/x
  3. Step 3: Cross multiply
    89,029.50x = 181,356 × 181,356
  4. Step 4: Simplify right side
    89,029.50x = 32,889,998,736
  5. Step 5: Solve for x
    x = 32,889,998,736/89,029.50
  6. Step 6: Final answer
    x = 369,428.10

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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.