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Finding the Third Proportional to 117,693 and 180,072

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Solution

The third proportional to 117,693 and 180,072 is: 275,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,693 : 180,072 = 180,072 : x
  2. Step 2: Convert to fraction form
    117,693/180,072 = 180,072/x
  3. Step 3: Cross multiply
    117,693x = 180,072 × 180,072
  4. Step 4: Simplify right side
    117,693x = 32,425,925,184
  5. Step 5: Solve for x
    x = 32,425,925,184/117,693
  6. Step 6: Final answer
    x = 275,512.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.