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Finding the Third Proportional to 116,496 and 169,092

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Solution

The third proportional to 116,496 and 169,092 is: 245,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,496 : 169,092 = 169,092 : x
  2. Step 2: Convert to fraction form
    116,496/169,092 = 169,092/x
  3. Step 3: Cross multiply
    116,496x = 169,092 × 169,092
  4. Step 4: Simplify right side
    116,496x = 28,592,104,464
  5. Step 5: Solve for x
    x = 28,592,104,464/116,496
  6. Step 6: Final answer
    x = 245,434.22

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.