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Finding the Third Proportional to 86,583.94 and 132,996.94

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Solution

The third proportional to 86,583.94 and 132,996.94 is: 204,289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,583.94 : 132,996.94 = 132,996.94 : x
  2. Step 2: Convert to fraction form
    86,583.94/132,996.94 = 132,996.94/x
  3. Step 3: Cross multiply
    86,583.94x = 132,996.94 × 132,996.94
  4. Step 4: Simplify right side
    86,583.94x = 17,688,185,384.38
  5. Step 5: Solve for x
    x = 17,688,185,384.38/86,583.94
  6. Step 6: Final answer
    x = 204,289.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.