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Finding the Third Proportional to 117,024 and 159,984

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Solution

The third proportional to 117,024 and 159,984 is: 218,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,024 : 159,984 = 159,984 : x
  2. Step 2: Convert to fraction form
    117,024/159,984 = 159,984/x
  3. Step 3: Cross multiply
    117,024x = 159,984 × 159,984
  4. Step 4: Simplify right side
    117,024x = 25,594,880,256
  5. Step 5: Solve for x
    x = 25,594,880,256/117,024
  6. Step 6: Final answer
    x = 218,714.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.