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Finding the Third Proportional to 114,326 and 169,835

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Solution

The third proportional to 114,326 and 169,835 is: 252,295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,326 : 169,835 = 169,835 : x
  2. Step 2: Convert to fraction form
    114,326/169,835 = 169,835/x
  3. Step 3: Cross multiply
    114,326x = 169,835 × 169,835
  4. Step 4: Simplify right side
    114,326x = 28,843,927,225
  5. Step 5: Solve for x
    x = 28,843,927,225/114,326
  6. Step 6: Final answer
    x = 252,295.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.