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Finding the Third Proportional to 117,216 and 183,744

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Solution

The third proportional to 117,216 and 183,744 is: 288,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,216 : 183,744 = 183,744 : x
  2. Step 2: Convert to fraction form
    117,216/183,744 = 183,744/x
  3. Step 3: Cross multiply
    117,216x = 183,744 × 183,744
  4. Step 4: Simplify right side
    117,216x = 33,761,857,536
  5. Step 5: Solve for x
    x = 33,761,857,536/117,216
  6. Step 6: Final answer
    x = 288,031.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.