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Finding the Third Proportional to 114,732.94 and 161,283.94

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Solution

The third proportional to 114,732.94 and 161,283.94 is: 226,722.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,732.94 : 161,283.94 = 161,283.94 : x
  2. Step 2: Convert to fraction form
    114,732.94/161,283.94 = 161,283.94/x
  3. Step 3: Cross multiply
    114,732.94x = 161,283.94 × 161,283.94
  4. Step 4: Simplify right side
    114,732.94x = 26,012,508,495.50
  5. Step 5: Solve for x
    x = 26,012,508,495.50/114,732.94
  6. Step 6: Final answer
    x = 226,722.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.