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Finding the Third Proportional to 113,664 and 176,232

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Solution

The third proportional to 113,664 and 176,232 is: 273,241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,664 : 176,232 = 176,232 : x
  2. Step 2: Convert to fraction form
    113,664/176,232 = 176,232/x
  3. Step 3: Cross multiply
    113,664x = 176,232 × 176,232
  4. Step 4: Simplify right side
    113,664x = 31,057,717,824
  5. Step 5: Solve for x
    x = 31,057,717,824/113,664
  6. Step 6: Final answer
    x = 273,241.46

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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.