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Finding the Third Proportional to 114,029 and 160,396

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Solution

The third proportional to 114,029 and 160,396 is: 225,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,029 : 160,396 = 160,396 : x
  2. Step 2: Convert to fraction form
    114,029/160,396 = 160,396/x
  3. Step 3: Cross multiply
    114,029x = 160,396 × 160,396
  4. Step 4: Simplify right side
    114,029x = 25,726,876,816
  5. Step 5: Solve for x
    x = 25,726,876,816/114,029
  6. Step 6: Final answer
    x = 225,616.96

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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.