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Finding the Third Proportional to 114,738 and 161,289

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Solution

The third proportional to 114,738 and 161,289 is: 226,726.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,738 : 161,289 = 161,289 : x
  2. Step 2: Convert to fraction form
    114,738/161,289 = 161,289/x
  3. Step 3: Cross multiply
    114,738x = 161,289 × 161,289
  4. Step 4: Simplify right side
    114,738x = 26,014,141,521
  5. Step 5: Solve for x
    x = 26,014,141,521/114,738
  6. Step 6: Final answer
    x = 226,726.47

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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.