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Finding the Third Proportional to 117,213 and 181,610

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Solution

The third proportional to 117,213 and 181,610 is: 281,386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,213 : 181,610 = 181,610 : x
  2. Step 2: Convert to fraction form
    117,213/181,610 = 181,610/x
  3. Step 3: Cross multiply
    117,213x = 181,610 × 181,610
  4. Step 4: Simplify right side
    117,213x = 32,982,192,100
  5. Step 5: Solve for x
    x = 32,982,192,100/117,213
  6. Step 6: Final answer
    x = 281,386.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.